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acc-phys/9503003
Muon Transverse Ionization Cooling: Stochastic Approach
Transverse ionization cooling of muons is modeled as a Brownian motion of the muon beam as it traverses a Li or Be rod. A Langevin like equation is written for the free particle case (no external transverse magnetic field) and for the case of a harmonically bound beam in the presence of a focusing magnetic field. We de...
1995-03-31
2008-11-26
[ "acc-phys", "physics.acc-ph" ]
Richard C. Fernow, Juan C. Gallardo
acc-phys/9503002
Beam Dynamics problems in a muon collider
We discuss the various beam dynamics problems in muon collider systems, starting from the proton accelerator needed to generate the muon beams and proceeding through the muon storage ring.
1995-03-31
2009-09-15
[ "acc-phys", "physics.acc-ph" ]
R.B.Palmer, J.C.Gallardo, R.C.Fernow, H.Kirk, I.Stumer, Y.Y.Lee, M.Syphers, Y.Torun (BNL), D.Winn (Fairfield Univ.), D.Neuffer (CEBAF), Y.Cho, J.Norem (ANL), N.Mokhov, R.Noble, A.Tollestrup (FNAL), R.Scanlan, S.Caspi (LBL), O.Napoly (Saclay)
acc-phys/9503001
A Study of Influence of Synchrotron Radiation Quantum Fluctuations on the Synchrotron Oscillations of a Single Electron Using Undulator Radiation
A single electron circulating in a storage ring is a very peculiar object. Synchrotron radiation quantum fluctuation causes stohastic process in the synchrotron oscillation of an electron. The radiation from a undulator permits one to obtain discret moments of longitudional electron motion. Experiments with a single el...
1995-03-29
2009-10-28
[ "acc-phys", "physics.acc-ph" ]
A.N.Aleshaev, I.V.Pinayev, V.M.Popik, S.S.Serednyakov, T.V.Shaftan, A.S.Sokolov, N.A.Vinokurov, P.V.Vorob'ev (BINP Novosibirsk)
acc-phys/9502002
Coupling Impedances and Heating due to Slots in the KEK B-factory
The longitudinal and transverse coupling impedances produced by the long slots in the Low Energy Ring of KEK B-factory are calculated. The power dissipated inside the vacuum chamber due to the fields scattered by the slots is evaluated using results for the real part of the coupling impedance. Estimates are made for th...
1995-02-21
2012-08-29
[ "acc-phys", "physics.acc-ph" ]
Sergey S. Kurennoy and Yong Ho Chin
acc-phys/9502001
Finding matched rms envelopes in rf linacs: A Hamiltonian approach
We present a new method for obtaining matched solutions of the rms envelope equations. In this approach, the envelope equations are first expressed in Hamiltonian form. The Hamiltonian defines a nonlinear mapping, $\cal M$, and for periodic transport systems the fixed points of the one-period map are the matched envelo...
1995-02-12
2012-08-29
[ "acc-phys", "physics.acc-ph" ]
Robert D. Ryne (Los Alamos National Laboratory)
adap-org/9512002
Comment on "White-Noise-Induced Transport in Periodic Structures"
In the paper by J.\L uczka {\em et al.} ({\em Europhys. Lett.}, {\bf 31} (1995) 431), the authors reported by rigorous calculation that an additive Poissonian white shot noise can induce a macroscopic current of a dissipative particle in a periodic potential -- even {\em in the absence} of spatial asymmetry of the pote...
1995-12-22
2009-10-28
[ "adap-org", "nlin.AO" ]
Tsuyoshi Hondou (Grad. Sch. Info. Sci., Tohoku University, Japan) and Yasuji Sawada (Res. Inst. Elec. Comm., Tohoku University, Japan)
adap-org/9512001
Scaling and universality in binary fragmenting with inhibition
We investigate a new model of binary fragmentation with inhibition, driven by the white noise. In a broad range of fragmentation probabilities, the power-law spatiotemporal correlations are found to arise due to self-organized criticality (SOC). We find in the SOC phase a non-trivial power spectrum of the temporal sequ...
1995-12-13
2015-06-24
[ "adap-org", "nlin.AO" ]
Robert Botet and Marek Ploszajczak
adap-org/9511004
Dynamical Model for Virus Spread
The steady state properties of the mean density population of infected cells in a viral spread is simulated by a general forest fire like cellular automaton model with two distinct populations of cells ( permissive and resistant ones) and studied in the framework of the mean field approximation. Stochastic dynamical in...
1995-11-29
2008-02-03
[ "adap-org", "cond-mat", "nlin.AO", "q-bio" ]
G. Camelo-Neto and S. Coutinho
adap-org/9511003
Reconstruction of a first-order phase transition from computer simulations of individual phases and subphases
We present a new method for investigating first-order phase transitions using Monte Carlo simulations. It relies on the multiple-histogram method and uses solely histograms of individual phases. In addition, we extend the method to include histograms of subphases. The free energy difference between phases, necessary fo...
1995-11-23
2009-10-28
[ "adap-org", "cond-mat", "nlin.AO" ]
Martin Ebeling and Walter Nadler (Institut fuer Theoretische Chemie, Universitaet Tuebingen, Tuebingen, Germany)
adap-org/9511002
Octonionic binocular mobilevision. An overview
This paper is a compact overview of the heuristic approach to the recently elaborated octonionic binocular mobilevision.
1995-11-16
2008-02-03
[ "adap-org", "nlin.AO" ]
Denis V. Juriev
adap-org/9511001
Spatial Inhomogeneity and Thermodynamic Chaos
We present a coherent approach to the competition between thermodynamic states in spatially inhomogeneous systems, such as the Edwards-Anderson spin glass with a fixed coupling realization. This approach explains and relates chaotic size dependence, ``dispersal of the metastate'', and for replicas: non-independence, sy...
1995-11-09
2009-10-28
[ "adap-org", "cond-mat", "nlin.AO" ]
C.M. Newman (Courant Institute of Mathematical Sciences, New York University, New York, NY), D.L. Stein (Department of Physics, University of Arizona, Tucson, AZ)
adap-org/9510002
Avalanche Dynamics in Evolution, Growth, and Depinning Models
The dynamics of complex systems in nature often occurs in terms of punctuations, or avalanches, rather than following a smooth, gradual path. A comprehensive theory of avalanche dynamics in models of growth, interface depinning, and evolution is presented. Specifically, we include the Bak-Sneppen evolution model, the S...
1995-10-20
2009-10-28
[ "adap-org", "cond-mat", "nlin.AO" ]
M. Paczuski, S. Maslov, and P. Bak (BNL Physics, Upton NY)
adap-org/9510001
Mean Switching Frequency Locking in Stochastic Bistable Systems Driven by Periodical Force
The nonlinear response of noisy bistable systems driven by strong amplitude periodical force is investigated by physical experiment. The new phenomenon of locking of the mean switching frequency between states of bistable system is found. It is shown that there is an interval of noise intensities in which the mean swit...
1995-10-18
2008-02-03
[ "adap-org", "nlin.AO" ]
Boris Shulgin, Alexander Neiman, Vadim Anishchenko
adap-org/9509003
Self-organization, ergodicity breaking, phase transition and synchronization in two-dimensional traffic-flow model
Analytical investigation is made on the two-dimensional traffic-flow model with alternative movement and exclude-volume effect between right and up arrows [Phys. Rev. {\bf A} 46 R6124 (1992)]. Several exact results are obtained, including the upper critical density above which there are only jamming configurations, and...
1995-10-05
2008-02-03
[ "adap-org", "nlin.AO" ]
Yu Shi (Dept. of Phys., fudan University, China)
adap-org/9509002
Exact Results of the Bit-String Model for Catastrophic Senescence
We succeeded in obtaining exact results of the bit-string model of biological aging for populations whose individuals breed only once. These results are in excellent agreement with those obtained through computer simulations. In addition, we obtain an expression for the minimum birth needed to avoid mutational meltdown...
1995-09-29
2009-10-28
[ "adap-org", "nlin.AO", "q-bio" ]
T.J.P.Penna and S.Moss de Oliveira
adap-org/9509001
Scalings of Pitches in Music
We investigate correlations among pitches in several songs and pieces of piano music by mapping them to one-dimensional walks. Two kinds of correlations are studied, one is related to the real values of frequencies while they are treated only as different symbols for another. Long-range power law behavior is found in b...
1995-09-10
2008-02-03
[ "adap-org", "nlin.AO" ]
Yu Shi
adap-org/9508006
Non-Mean-Field Behavior of Realistic Spin Glasses
We provide rigorous proofs which show that the main features of the Parisi solution of the Sherrington-Kirkpatrick spin glass are not valid for more realistic spin glass models in any dimension and at any temperature.
1995-08-25
2009-10-28
[ "adap-org", "cond-mat", "nlin.AO" ]
C.M. Newman (Courant Institute of Mathematical Sciences, New York University, New York, NY), D.L. Stein (Department of Physics, University of Arizona, Tucson, AZ)
adap-org/9508005
Reproducible noise in a macroscopic system: magnetic avalanches in Perminvar
A study of magnetic avalanches in Perminvar, an Fe-Ni-Co alloy, shows that some avalanches are almost exactly reproducible from one magnetic field cycle to the next, while others show significant variability. Averaging over many cycles produces a fingerprint reflecting the reproducibility of the noise. The fingerprint ...
1995-08-17
2008-02-03
[ "adap-org", "nlin.AO" ]
J. S. Urbach, R. C. Madison, J. T. Markert (Center for Nonlinear Dynamics, University of Texas, Austin, TX)
adap-org/9508004
Ergodic Properties of the Spin - Boson System
We investigate the dynamics of a 2-level atom (or spin-1/2) coupled to a mass-less bosonic field at positive temperature. We prove that, at small coupling, the combined quantum system approaches thermal equilibrium. Moreover we establish that this approach is exponentially fast in time. We first reduce the question to ...
1995-08-17
2008-02-03
[ "adap-org", "nlin.AO" ]
V. Jaksic (IMA, University of Minnesota, Minneapolis) and C.-A. Pillet (Dep. de Physique Theorique, Universite de Geneve)
adap-org/9508003
Analytic Investigations of Random Search Strategies for Parameter Optimization
Several standard processes for searching minima of potential functions, such as thermodynamical strategies (simulated annealing) and biologically motivated selfreproduction strategies, are reduced to Schr\"odinger problems. The properties of the landscape are encoded in the spectrum of the Hamiltonian. We investigate t...
1995-08-10
2008-02-03
[ "adap-org", "nlin.AO" ]
Torsten Asselmeyer, and Werner Ebeling
adap-org/9508002
Smoothing representation of fitness landscapes - the genotype-phenotype map of evolution
We investigate an simple evolutionary game of sequences and demonstrate on this example the structure of fitness landscapes in discrete problems. We show the smoothing action of the genotype-phenotype mapping which still makes it feasible for evolution to work. Further we propose the density of sequence states as a cla...
1995-08-10
2008-02-03
[ "adap-org", "nlin.AO", "q-bio" ]
Torsten Asselmeyer, Werner Ebeling, and Helge Rose
adap-org/9508001
A model for evolution and extinction
We present a model for evolution and extinction in large ecosystems. The model incorporates the effects of interactions between species and the influences of abiotic environmental factors. We study the properties of the model by approximate analytic solution and also by numerical simulation, and use it to make predicti...
1995-08-08
2008-02-03
[ "adap-org", "nlin.AO", "q-bio" ]
Bruce W. Roberts and M. E. J. Newman (Cornell University)
adap-org/9507009
Onsager reciprocity relations without microscopic reversibility
In this paper we show that Onsager--Machlup time reversal properties of thermodynamic fluctuations and Onsager reciprocity relations for transport coefficients can hold also if the microscopic dynamics is not reversible. This result is based on the explicit construction of a class of conservative models which can be an...
1995-08-02
2012-08-29
[ "adap-org", "nlin.AO" ]
D. Gabrielli, G. Jona-Lasinio, C. Landim
adap-org/9507010
Molecular dynamics of arbitrarily shaped granular particles}
We propose a new model for the description of complex granular particles and their interaction in molecular dynamics simulations of granular material in two dimensions. The grains are composed of triangles which are connected by deformable beams. Particles are allowed to be convex or concave. We present first results o...
1995-08-02
2012-08-29
[ "adap-org", "nlin.AO" ]
Thorsten Poeschel and Volkhard Buchholtz
adap-org/9507008
Evolving Neural Networks with Iterative Learning Scheme for Associative Memory
A locally iterative learning (LIL) rule is adapted to a model of the associative memory based on the evolving recurrent-type neural networks composed of growing neurons. There exist extremely different scale parameters of time, the individual learning time and the generation in evolution. This model allows us definite ...
1995-08-02
2008-02-03
[ "adap-org", "nlin.AO", "q-bio" ]
Sh. Fujita (Kobe University) and H. Nishimura (Hyogo University of Education)
adap-org/9507007
Dynamic Entropies, Long--Range Correlations and Fluctuations in Complex Linear Structures
We investigate symbolic sequences and in particular information carriers as e.g. books and DNA--strings. First the higher order Shannon entropies are calculated, a characteristic root law is detected. Then the algorithmic entropy is estimated by using Lempel--Ziv compression algorithms. In the third section the correla...
1995-07-28
2008-02-03
[ "adap-org", "nlin.AO", "q-bio" ]
Werner Ebeling, Alexander Neiman and Thorsten P\"oschel
adap-org/9507005
Long Range Anticorrelations and Non-Gaussian Behavior of a Leaky Faucet
We find that intervals between successive drops from a leaky faucet display scale-invariant, long-range anticorrelations characterized by the same exponents of heart beat-to-beat intervals of healthy subjects. This behavior is also confirmed by numerical simulations on lattice and it is faucet-width- and flow-rate-inde...
1995-07-25
2009-10-28
[ "adap-org", "nlin.AO", "q-bio" ]
T.J.P. Penna, P.M.C. de Oliveira, J.C. Sartorelli, W.M. Gon\c{c}alves and R.D. Pinto
adap-org/9507004
Mutation Accumulation and the Catastrophic Senescence of Pacific Salmon
The bit-string model of biological aging is used to simulate the catastrophic senescence of Pacific Salmon. We have shown that reproduction occuring only once and at a fixed age is the only ingredient needed to explain the catastrophic senescence according the mutation accumulation theory. Several results are presented...
1995-07-25
2009-10-28
[ "adap-org", "nlin.AO", "q-bio" ]
T.J.P.Penna, S.Moss de Oliveira and Dietrich Stauffer
adap-org/9507006
Kolmogorov turbulence in a random-force-driven Burgers equation: anomalous scaling and probability density functions
High-resolution numerical experiments, described in this work, show that velocity fluctuations governed by the one-dimensional Burgers equation driven by a white-in-time random noise with the spectrum $\overline{|f(k)|^2}\propto k^{-1}$ exhibit a biscaling behavior: All moments of velocity differences $S_{n\le 3}(r)=\o...
1995-07-25
2009-10-28
[ "adap-org", "nlin.AO" ]
Alexei Chekhlov and Victor Yakhot (Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA)
adap-org/9507003
Pattern Formation and Functionality in Swarm Models
We explore a simplified class of models we call swarms, which are inspired by the collective behavior of social insects. We perform a mean-field stability analysis and perform numerical simulations of the model. Several interesting types of behavior emerge in the vicinity of a second-order phase transition in the model...
1995-07-18
2009-10-28
[ "adap-org", "nlin.AO", "nlin.PS", "patt-sol" ]
Erik M. Rauch, Mark M. Millonas, and Dante R. Chialvo
adap-org/9507002
The Instability of Markets
Recent developments in the global liberalization of equity and currency markets, coupled to advances in trading technologies, are making markets increasingly interdependent. This increased fluidity raises questions about the stability of the international financial system. In this paper, we show that as couplings betwe...
1995-07-13
2019-08-15
[ "adap-org", "nlin.AO" ]
Tad Hogg, Bernardo A. Huberman, and Michael Youssefmir (All Xerox Palo Alto Research Center)
adap-org/9507001
Word Processors with Line-Wrap: Cascading, Self-Organized Criticality, Random Walks, Diffusion, Predictability
We examine the line-wrap feature of text processors and show that adding characters to previously formatted lines leads to the cascading of words to subsequent lines and forms a state of self-organized criticality. We show the connection to one-dimensional random walks and diffusion problems, and we examine the predict...
1995-07-07
2009-10-28
[ "adap-org", "nlin.AO" ]
Wolfgang Bauer and Scott Pratt
adap-org/9506004
Chromosome mapping: radiation hybrid data and stochastic spin models
This work approaches human chromosome mapping by developing algorithms for ordering markers associated with radiation hybrid data. Motivated by recent work of Boehnke et al. [1], we formulate the ordering problem by developing stochastic spin models to search for minimum-break marker configurations. As a particular app...
1995-07-06
2009-10-28
[ "adap-org", "nlin.AO", "q-bio.GN" ]
C.T. Falk (The New York Blood Center, New York, NY) and H. Falk (Physics Dept., City College of the City University of NY, New York, NY)
adap-org/9506003
Self-Organization in Models of Populations with Two-Parent Reproduction on a Rugged Fitness Landscape
The two-parent reproduction model of Derrida and Peliti is simulated on a rugged fitness landscape. Fixed fitness values for each possible genotype are assigned randomly, with all fit individuals having the same probability of reproduction. The previously observed transition to a self-organized state of the population ...
1995-06-26
2015-06-30
[ "adap-org", "nlin.AO", "q-bio" ]
Jan Finjord (Stavanger College and CNLS, LANL)
adap-org/9506002
Kolmogorov turbulence in a random-force-driven Burgers equation
The dynamics of velocity fluctuations, governed by the one-dimensional Burgers equation, driven by a white-in-time random force with the spatial spectrum $\overline{|f(k)|^2}\proptok^{-1}$, is considered. High-resolution numerical experiments conducted in this work give the energy spectrum $E(k)\propto k^{-\beta}$ with...
1995-06-23
2015-06-30
[ "adap-org", "nlin.AO" ]
Alexei Chekhlov and Victor Yakhot (Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey)
adap-org/9506001
How birds fly together: Long-range order in a two-dimensional dynamical XY model
We propose a non-equilibrium continuum dynamical model for the collective motion of large groups of biological organisms (e.g., flocks of birds, slime molds, etc.) Our model becomes highly non-trivial, and different from the equilibrium model, for $d<d_c=4$; nonetheless, we are able to determine its scaling exponents {...
1995-06-08
2015-06-30
[ "adap-org", "cond-mat", "nlin.AO", "nlin.PS", "patt-sol" ]
Yuhai Tu (IBM T. J. Watson Research Center), John Toner(IBM T. J. Watson Research Center and Univ. of Oregon)
adap-org/9505005
Ground State Structure in a Highly Disordered Spin Glass Model
We propose a new Ising spin glass model on $Z^d$ of Edwards-Anderson type, but with highly disordered coupling magnitudes, in which a greedy algorithm for producing ground states is exact. We find that the procedure for determining (infinite volume) ground states for this model can be related to invasion percolation wi...
1995-05-31
2015-06-30
[ "adap-org", "nlin.AO" ]
C. M. Newman (Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA), D.L. Stein (Department of Physics, University of Arizona, Tucson, AZ 85721 USA)
adap-org/9505004
Hydrodynamic effects in density waves of granular flows
Granular flows in a narrow pipe are studied numerically by the model taking account of hydrodynamic effects of fluid surrounding particles. In the simulations density waves are observed over the wide range of the Stokes number, which represents the inertial effect of particles. The mechanisms of formation of the densit...
1995-05-29
2012-08-29
[ "adap-org", "nlin.AO" ]
Kengo Ichiki (Dept. of Physics, Tohoku Univ.,Sendai 980-77, Japan)
adap-org/9505003
Exact Results for Spatio-Temporal Correlations in a Self-Organized Critical Model of Punctuated Equilibrium
We introduce a self-organized critical model of punctuated equilibrium with many internal degrees of freedom ($M$) per site. We find exact solutions for $M\rightarrow \infty$ of cascade equations describing avalanche dynamics in the steady state. This proves the existence of simple power laws with critical exponents th...
1995-05-28
2009-10-28
[ "adap-org", "cond-mat", "nlin.AO" ]
Stefan Boettcher and Maya Paczuski (Brookhaven National Laboratory)
adap-org/9505002
Evolutionary Dynamics and Optimization: Neutral Networks as Model-Landscapes for RNA Secondary-Structure Folding-Landscapes
We view the folding of RNA-sequences as a map that assigns a pattern of base pairings to each sequence, known as secondary structure. These preimages can be constructed as random graphs (i.e. the neutral networks associated to the structure $s$). By interpreting the secondary structure as biological information we can ...
1995-05-26
2008-02-03
[ "adap-org", "nlin.AO", "q-bio" ]
Christian V. Forst, Christian Reidys, and Jacqueline Weber (all Inst. of Molecular Biotechnology, Jena, Germany)
adap-org/9505001
A Statistical Approach to Vehicular Traffic
A two--dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of the four directions. The flow of cars obeys realistic traffic rules. We investig...
1995-05-21
2008-02-03
[ "adap-org", "nlin.AO" ]
Jan Freund, Thorsten P\"oschel
adap-org/9504007
The Distributed Genetic Algorithm Revisited
This paper extends previous work done by Tanese on the distributed genetic algorithm (DGA). Tanese found that the DGA outperformed the canonical serial genetic algorithm (CGA) on a class of difficult, randomly-generated Walsh polynomials. This left open the question of whether the DGA would have similar success on func...
1995-05-04
2008-02-03
[ "adap-org", "nlin.AO" ]
Theodore C. Belding (University of Michigan CSE Division)
adap-org/9504006
Hierarchical Crossover and Probability Landscapes of Genetic Operators
The time evolution of a simple model for crossover is discussed. A variant of this model with an improved exploration behavior in phase space is derived as a subset of standard one- and multi-point crossover operations. This model is solved analytically in the flat fitness case. Numerical simulations compare the way of...
1995-04-28
2015-06-30
[ "adap-org", "nlin.AO" ]
Stefan Bornholdt (University of Kiel and Santa Fe Institute) and Heinz Georg Schuster (University of Kiel)
adap-org/9504005
Hydrodynamic Description of Granular Convection
We present a hydrodynamic model that captures the essence of granular dynamics in a vibrating bed. We carry out the linear stability analysis and uncover the instability mechanism that leads to the appearance of the convective rolls via a supercritical bifurcation of a bouncing solution. We also explicitly determine th...
1995-04-21
2015-06-30
[ "adap-org", "nlin.AO" ]
Hisao Hayakawa (Department of Physics, University of Illinois at Urbana-Champaign), Su Yue and Daniel C. Hong (Department of Physics, Lehigh University)
adap-org/9504004
Numerical investigation of surface level instability due to tube in vibrating bed of powder
Surface level instability when tube is injected into vibrating bed of powder, which was originally found in experiments, is investigated numerically. We find that thicker (thiner) tube makes surface level inside tube higher (lower) than surface level outside tube. With fixed acceleration amplitude of vibration, surface...
1995-04-17
2015-06-24
[ "adap-org", "cond-mat", "nlin.AO" ]
Yasushi Maeno, Dr. Y-h. Taguchi (Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152, Japan)
adap-org/9504003
Elements of a Theory of Simulation
Unlike computation or the numerical analysis of differential equations, simulation does not have a well established conceptual and mathematical foundation. Simulation is an arguable unique union of modeling and computation. However, simulation also qualifies as a separate species of system representation with its own m...
1995-04-10
2008-02-03
[ "adap-org", "nlin.AO" ]
Steen Rasmussen (Los Alamos National Laboratory and Santa Fe Institute) and Christopher Barrett (Los Alamos National Laboratory and Santa Fe Institute)
adap-org/9504002
Evolution of Cooperation, Differentiation, Complexity, and Diversity in an Iterated Three-person Game
A non-zero-sum 3-person coalition game is presented, to study the evolution of complexity and diversity in cooperation, where the population dynamics of players with strategies is given according to their scores in the iterated game and mutations. Two types of differentiations emerge initially; biased one to classes an...
1995-04-10
2015-06-30
[ "adap-org", "nlin.AO" ]
Eizo Akiyama (Department of Pure and Applied Sciences, University of Tokyo), and Kunihiko Kaneko (Department of Pure and Applied Sciences, University of Tokyo)
adap-org/9504001
A Theory of Differentiation with Dynamic Clustering
A novel theory for cell differentiation is proposed, based on simulations with interacting artificial cells which have metabolic networks within, and divide into two when the final product is accumulated. Results of simulations with coupled chemical networks and division process lead to the following scenario of the di...
1995-04-04
2015-06-30
[ "adap-org", "nlin.AO", "q-bio" ]
Kunihiko Kaneko (Department of Pure and Applied Sciences,University of Tokyo), and Tetsuya Yomo (Department of Biotechnology,Osaka University)
adap-org/9503003
Strong Ordering by Non-uniformity of Thresholds in a Coupled Map Lattice
The coupled map lattice by Olami {\it et al.} [Phys. Rev. Lett. {\bf 68}, 1244 (1992)] is ``doped'' by letting just {\it one} site have a threshold, $T^{*}_{\rm max}$, bigger than the others. On an $L \times L$ lattice with periodic boundary conditions this leads to a transition from avalanche sizes of about one to exa...
1995-03-29
2015-06-30
[ "adap-org", "nlin.AO" ]
Frode Torvund (University of Oslo), Jan Froyland (University of Oslo)
adap-org/9503004
Abundance Distributions in Artificial Life and Stochastic Models: "Age and Area" revisited
Using an artificial system of self-replicating strings, we show a correlation between the age of a genotype and its abundance that reflects a punctuated rather than gradual picture of evolution, as suggested long ago by Willis. In support of this correlation, we measure genotype abundance distributions and find univers...
1995-03-29
2008-02-03
[ "adap-org", "nlin.AO", "q-bio.PE" ]
C. Adami, C.T. Brown, and M. Haggerty (Kellogg Radiation Laboratory, Caltech)
adap-org/9503002
Comment on "Linguistic Features of Noncoding DNA Sequences"
In a recent Physical Review Letter, Mantegna et. al., report that certain statistical signatures of natural language can be found in non-coding DNA sequences. In this comment we show that random noise with power-law correlation similar to $1/f$ noise, exhibits the same "linguistic" signature as those found in non-codin...
1995-03-18
2008-02-03
[ "adap-org", "nlin.AO", "q-bio" ]
N. E. Israeloff, M. Kagalenko, and K. Chan (Northeastern University)
adap-org/9503001
Self-Organized Critical Models Without Local Particle Conservation Laws On Superlattices
We consider simple examples of self-organized critical systems on one-dimensional superlattices without local particle conservation laws. The set of all recurrence states are also found in these examples using a method similar to the burning algorithm.
1995-03-07
2015-06-30
[ "adap-org", "nlin.AO" ]
H. F. Chau (IAS, Princeton)
adap-org/9502006
Clustered Volatility in Multiagent Dynamics
Large distributed multiagent systems are characterized by vast numbers of agents trying to gain access to limited resources in an unpredictable environment. Agents in these system continuously switch strategies in order to opportunistically find improvements in their utilities. We have analyzed the fluctuations around ...
1995-03-01
2008-02-03
[ "adap-org", "nlin.AO" ]
Michael Youssefmir, Bernardo Huberman (Dynamics of Computation Group, Xerox Palo Alto Research Center, 3333 Coyote Hill Rd., Palo Alto, CA 94304)
adap-org/9502004
Emergent Traffic Jams
We study a single-lane traffic model that is based on human driving behavior. The outflow from a traffic jam self-organizes to a critical state of maximum throughput. Small perturbations of the outflow far downstream create emergent traffic jams with a power law distribution $P(t) \sim t^{-3/2}$ of lifetimes, $t$. On v...
1995-02-15
2009-10-28
[ "adap-org", "cond-mat", "nlin.AO" ]
Kai Nagel (University of Cologne and Brookhaven National Laboratory), Maya Paczuski (Brookhaven National Laboratory)
adap-org/9502005
Traffic at the Edge of Chaos
We use a very simple description of human driving behavior to simulate traffic. The regime of maximum vehicle flow in a closed system shows near-critical behavior, and as a result a sharp decrease of the predictability of travel time. Since Advanced Traffic Management Systems (ATMSs) tend to drive larger parts of the t...
1995-02-15
2008-02-03
[ "adap-org", "nlin.AO" ]
Nagel K (Los Alamos National Laboratory, Santa Fe Institute, University of Cologne), Rasmussen S (Los Alamos National Laboratory, Santa Fe Institute)
adap-org/9502003
Statistical Theory of Sedimentation of Disordered Suspensions
An analytical treatment for the sedimentation rate of disordered suspensions is presented in the context of a resistance problem. From the calculation it is confirmed that the lubrication effect is important in contrast to the suggestion by Brady and Durlofsky (Phys.Fluids Vol.31, 717 (1988)). The calculated sediment...
1995-02-11
2015-06-30
[ "adap-org", "nlin.AO" ]
Hisao Hayakawa (Dept. of Physics, Univ. of Illinois at Urbana- Champaign, 1110 West Green Street, Urbana, IL 61801-3080, USA), Kengo Ichiki (Dept. of Physics, Tohoku Univ.,Sendai 980-77, Japan)
adap-org/9502002
Upper Bounds for the Critical Car Densities in Traffic Flow Problems
In most models of traffic flow, the car density $p$ is the only free parameter in determining the average car velocity $\langle v \rangle$. The critical car density $p_c$, which is defined to be the car density separating the jamming phase (with $\langle v \rangle = 0$) and the moving phase (with $\langle v \rangle > 0...
1995-02-10
2009-10-28
[ "adap-org", "cond-mat", "nlin.AO" ]
H. F. Chau (IAS, Princeton), P. M. Hui and Y. F. Woo (Dept of Phys., Chinese Univ of Hong Kong)
adap-org/9502001
The Fight Against the Second Law of Thermodynamics
After presenting possible motives for fighting against the second law of thermodynamics, several attempts to beat this law are analyzed. The second law wins, but an interesting interpretation of it emerges. This interpretation uses the notion of ``encoded order'' and claims that whether a system is or is not in thermod...
1995-02-05
2015-06-30
[ "adap-org", "astro-ph", "cond-mat", "nlin.AO" ]
Jorge Berger
adap-org/9501005
Proportion Regulation in Globally Coupled Nonlinear Systems
As a model of proportion regulation in differentiation process of biological system, globally coupled activator-inhibitor systems are studied. Formation and destabilization of one and two cluster state are predicted analytically. Numerical simulations show that the proportion of units of clusters is chosen within a fin...
1995-02-01
2015-06-30
[ "adap-org", "nlin.AO" ]
Tsuyoshi Mizuguchi and Masaki Sano (Research Institute of Electrical Communication Tohoku University, Sendai 980-77, Japan)
adap-org/9501004
A Pinned Polymer Model of Posture Control
A phenomenological model of human posture control is posited. The dynamics are modelled as an elastically pinned polymer under the influence of noise. The model accurately reproduces the two-point correlation functions of experimental posture data and makes predictions for the response function of the postural control ...
1995-01-17
2009-10-28
[ "adap-org", "nlin.AO" ]
Carson C. Chow, J.J. Collins (Boston University)
adap-org/9501003
A set of hard spheres with tangential inelastic collision as a model of granular matter: $1/f^\alpha$ fluctuation, non-Gaussian distribution, and convective motion
A set of hard spheres with tangential inelastic collision is found to reproduce observations of real and numerical granular matter. After time is scaled so as to cancel energy dissipation due to inelastic collisions out, inelastically colliding hard spheres in two dimensional space come to have $1/f^\alpha$ fluctuation...
1995-01-07
2008-02-03
[ "adap-org", "cond-mat", "nlin.AO" ]
Y-h. Taguchi (Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152, Japan) and Hideki Takayasu (Graduate School of Information Sciences, Tohoku University, Aoba-ku, Sendai 980, Japan)
adap-org/9501002
Analyzing Social Network Structures in the Iterated Prisoner's Dilemma with Choice and Refusal
The Iterated Prisoner's Dilemma with Choice and Refusal (IPD/CR) is an extension of the Iterated Prisoner's Dilemma with evolution that allows players to choose and to refuse their game partners. From individual behaviors, behavioral population structures emerge. In this report, we examine one particular IPD/CR environ...
1995-01-04
2012-08-29
[ "adap-org", "nlin.AO" ]
Mark D. Smucker (Univ. of Wisc.-Madison, Dept. of Computer Sciences), E. Ann Stanley (Iowa State Univ., Dept. of Mathematics), and Dan Ashlock (Iowa State Univ., Dept. of Mathematics)
adap-org/9501001
Scaling and singularities in the entrainment of globally-coupled oscillators
The onset of collective behavior in a population of globally coupled oscillators with randomly distributed frequencies is studied for phase dynamical models with arbitrary coupling. The population is described by a Fokker-Planck equation for the distribution of phases which includes the diffusive effect of noise in the...
1995-01-03
2009-10-28
[ "adap-org", "nlin.AO" ]
John David Crawford (Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA)
alg-geom/9512018
The Remark on Discriminants of K3 Surfaces Moduli as Sets of Zeros of Automorphic Forms
We show that for any $N>0$ there exists a natural even $n>N$ such that the discriminant of moduli of K3 surfaces of the degree $n$ is not equal to the set of zeros of any automorphic form on the corresponding IV type domain. We give the necessary condition on a "condition $S\subset L_{K3}$ on Picard lattice of K3'' for...
1995-12-29
2008-02-03
[ "alg-geom", "hep-th", "math.AG", "math.QA", "q-alg" ]
Viacheslav V. Nikulin (Steklov Mathematical Institute)
alg-geom/9512017
Residue construction of Hecke algebras
Hecke algebras are usually defined algebraically, via generators and relations. We give a new algebro-geometric construction of affine and double-affine Hecke algebras (the former is known as the Iwahori-Hecke algebra, and the latter was introduced by Cherednik [Ch1]). More generally, to any generalized Cartan matrix A...
1995-12-26
2008-02-03
[ "alg-geom", "math.AG", "math.QA", "q-alg" ]
Victor Ginzburg, Mikhail Kapranov, Eric Vasserot
alg-geom/9512016
Deninger's conjecture on $L$-function of elliptic curves at $s=3$
I compute explicitly the regulator map on $K_4(X)$ for an arbitrary curve $X$ over a number field. Using this and Beilinson's theorem about regulators for modular curves ([B2]) I prove a formula expressing the value of the $L$-function $L(E,s)$ of a modular elliptic curve $E$ over $\Bbb Q$ at $s=3$ by the double Eisens...
1995-12-25
2008-02-03
[ "alg-geom", "math.AG" ]
Alexander Goncharov
alg-geom/9512015
Lang maps and Harris's conjecture - a note in search for content
The Lang map, namely the universal dominant rational map to a variety of general type, is constructed and briefly discussed in relation with arithmetic conjectures of Harris, Lang and Manin. Existence of the Lang map follows from the additivity of Kodaira dimension, but the fine structure depends on conjectures on bira...
1995-12-23
2008-02-03
[ "alg-geom", "math.AG" ]
Dan Abramovich
alg-geom/9512014
Degenerations of elliptic curves and cusp singularities
We give more or less explicit equations for all two-dimensional cusp singularities of embedding dimension at least 4. They are closely related to Felix Klein's equations for universal curves with level n structure. The main technical result is a description of the versal deformation of an n-gon in $P^{n-1}$. The final ...
1995-12-21
2008-02-03
[ "alg-geom", "math.AG" ]
Jan Stevens
alg-geom/9512013
In\'egalit\'es de Morse et vari\'et\'es de Moishezon
The central topic of this thesis is the study of some properties of a class of complex compact manifolds~: Moishezon manifolds. In the first part, we generalize J.-P. Demailly's holomorphic Morse inequalities to the case of a line bundle equipped with a metric with analytic singularities on an arbitrary compact complex...
1995-12-20
2008-02-03
[ "alg-geom", "math.AG" ]
Laurent Bonavero
alg-geom/9512012
Remarks on numerical semigroups
We extend results on Weierstrass semigroups at ramified points of double covering of curves to any numerical semigroup whose genus is large enough. As an application we strengthen the properties concerning Weierstrass weights in \cited{To}.
1995-12-19
2008-02-03
[ "alg-geom", "math.AG" ]
Fernando Torres
alg-geom/9512011
On Invariant Theory
Here we develop a technique of computing the invariants of $n-$ary forms and systems of forms using the discriminants of corresponding multilinear forms built of their partial derivatives, which should be cosidered as analogues of classical discriminants and resultants for binary forms.
1995-12-14
2008-02-03
[ "alg-geom", "math.AG" ]
Valeri V.Dolotin
alg-geom/9512009
On Macaulayfication of certain quasi-projective schemes
The notion of Macaulayfication, which is analogous of the desingularization, was introduced by Faltings in 1978 and he construct a Macaulayfication of quasi-projective scheme whose non-Cohen-Macaulay locus is of dimension 0 or 1 by a characteristic free method. In this paper, we gave a Macaulayfication of a quasi-proje...
1995-12-14
2015-06-30
[ "alg-geom", "math.AC", "math.AG" ]
Takesi Kawasaki
alg-geom/9512010
Mathematics in and out of String Theory
We first give an exposition of how the Polyakov path integral for the bosonic string produces a natural mapping class group invariant measure, $d(Poly)$, on the Teichm\"uller space of Riemann surfaces of each fixed genus. The description of $d(Poly)$ via the Mumford isomorphisms for determinant bundles over Teichm\"ull...
1995-12-14
2008-02-03
[ "alg-geom", "hep-th", "math.AG" ]
Subhashis Nag (Institute of Mathematical Sciences)
alg-geom/9512008
Applications of Koszul homology to numbers of generators and syzygies
Several spectral sequence techniques are used in order to derive information about the structure of finite free resolutions of graded modules. These results cover estimates of the minimal number of generators of defining ideals of projective varieties. There are also investigations about the shifts and the dimension of...
1995-12-11
2008-02-03
[ "alg-geom", "math.AC", "math.AG" ]
Peter Schenzel
alg-geom/9512007
Non-symplectic involutions of a K3 surface
We classify K3 surfaces with a non-symplectic finite automorphism of high order. It is shown that such an automorphism cannot be of order 60, and for each of the orders 38, 44, 48, 50, 54 and 66, there exists a unique K3 surface with such an automorphism.
1995-12-09
2008-02-03
[ "alg-geom", "math.AG" ]
G. Xiao
alg-geom/9512006
On non-strict notions of $n$-category and $n$-groupoid via multisimplicial sets
In this paper we first give a simplicial approach to the definition of a non strict $n$-category that we call an $n$-nerve following the idea that a category could be interpreted as a simplicial set, and we prove that our construction generalises the case of the usual non strict 2-category. Next we give a simplicial de...
1995-12-08
2015-06-30
[ "alg-geom", "math.AG" ]
Zouhair Tamsamani
alg-geom/9512005
Higher Syzygies of Elliptic Ruled Surfaces
Let L be a normally generated line bundle on X; we say L satisfies property N_p (notation after Mark Green) if the matrices in the free resolution of R (the homogeneous coordinate ring of X) over S (the homogeneous coordinate ring of the projective space corresponding to the complete linear series |L|) have linear entr...
1995-12-06
2008-02-03
[ "alg-geom", "math.AG" ]
Francisco Gallego and B.P.Purnaprajna
alg-geom/9512004
Varieties of CM-type
We introduce the notion of a variety (or more generally a motive) of CM-type which generalises the well known notion of abelian variety of CM-type. Just as in that particular case it will turn out that the cohomology of the variety is determined by purely combinatorial data; the type of the variety. As applications we ...
1995-12-05
2008-02-03
[ "alg-geom", "math.AG" ]
Torsten Ekedahl
alg-geom/9512002
Primitive Calabi-Yau Threefolds
A primitive Calabi-Yau threefold is a non-singular Calabi-Yau threefold which cannot be written as a crepant resolution of a singular fibre of a degeneration of Calabi-Yau threefolds. These should be thought as the most basic Calabi-Yau manifolds; all others should arise through degenerations of these. This paper first...
1995-12-04
2015-06-30
[ "alg-geom", "math.AG" ]
Mark Gross
alg-geom/9512003
Quot schemes for flags and Gromov invariants for flag varieties
Using Quot schemes and a localization theorem we study Gromov-Witten invariants for partial flag varieties. The strategy is to extend A. Bertram's result of Gromov-Witten invariants for special Schubert varieties of Grassmannians to the case of partial flag varieties. To do so a Grothendieck's Quot scheme is generalize...
1995-12-04
2015-06-30
[ "alg-geom", "math.AG" ]
Bumsig Kim
alg-geom/9512001
Infinitesimal presentations of the Torelli groups
This is a significant revision of the early version of this paper which was posted last December. The speculative section has been removed in light of some recent results of Morita and Kawazumi. Numerous typos have been fixed. The companion paper "The Hodge de Rham Theory of Relative Malcev Completion" has just been po...
1995-12-01
2008-02-03
[ "alg-geom", "math.AG" ]
Richard Hain
alg-geom/9511019
Construction of rank two bundles on ${\bf P}^4$ in positive characteristic
Many examples of rank two bundles on ${\bf P}^4$ are constructed in positive characteristic. Construction depends on constructing certain special bundles on ${\bf P}^3$ which is shown to be equivalent to constructing bundles on ${\bf P}^4$ (in any characteristic). In fact this is true for projective spaces of any dimen...
1995-11-29
2008-02-03
[ "alg-geom", "math.AG" ]
N. Mohan Kumar
alg-geom/9511018
Symplectic biextensions and a generalization of the Fourier-Mukai transform
A generalization of the Fourier-Mukai transform is proposed. The construction is based on analogy with the classical picture of representations of the Heisenberg group.
1995-11-28
2008-02-03
[ "alg-geom", "math.AG" ]
Alexander Polishchuk
alg-geom/9511017
On the structure of semistable rigid sheaves on algebraic surfaces
Let S be a smooth projective surface, K be the canonical class of S and H be an ample divisor such that H.K<0 . In this paper we prove that for any rigid (Ext^1(F,F)=0) semistable sheaf F in the sense of Mumford--Takemoto stability w.r.t. H there exists an exceptional collection (E_1,...,E_n) of sheaves on S such that ...
1995-11-27
2008-02-03
[ "alg-geom", "math.AG" ]
Boris V.Karpov
alg-geom/9511016
Exceptional and Rigid Sheaves on Surfaces with Anticanonical Class without Base Components
The paper consists of three parts. In the first of them different kinds stability are discussed. In particular, the stability concept with respect to nef divisor is introduced. A structure of rigid and superrigid vector bundles on smooth projective surfaces with nef anticanonical class is studied in the second part. We...
1995-11-24
2008-02-03
[ "alg-geom", "math.AG" ]
Sergej A. Kuleshov
alg-geom/9511015
Subadjunction of log canonical divisors for a subvariety of codimension 2
We obtain a formula which relates the log canonical divisor of the ambient space with that of a subvariety of codimension 2 by using Knudsen's moduli space of pointed stable curves of genus 0.
1995-11-24
2015-06-30
[ "alg-geom", "math.AG" ]
Yujiro Kawamata
alg-geom/9511013
Normal presentation on Elliptic Ruled surfaces
In this article we determine exactly which line bundles on elliptic ruled surface X are normally presented. In particular we see that numerical classes of normally presented divisors form a convex set. (recall that Num(X) is generated by the class of a minimal section C_0 and by the class of a fiber f and that C_0 is a...
1995-11-23
2008-02-03
[ "alg-geom", "math.AG" ]
Francisco Gallego and B.P.Purnaprajna
alg-geom/9511014
A few general points of the Hilbert scheme of K3 surfaces
A ribbon D over a variety C is a scheme such that D_{red} = C, the ideal I in O_D of Cis a line bundle on C and I^2 = 0. A two dimensional ribbon is called a carpet. In this article we show that if D is a K3 carpet, that is a ribbon associated to a rational normal scroll with numerical invariants that of a K3 surface,t...
1995-11-23
2008-02-03
[ "alg-geom", "math.AG" ]
Francisco Gallego and B.P.Purnaprajna
alg-geom/9511012
Picard group of the moduli spaces of G-bundles
We prove that the Picard group of the moduli space of semistable G-bundles on any irreducible smooth projective curve is isomorphic with the group of integers.
1995-11-22
2008-02-03
[ "alg-geom", "math.AG" ]
Shrawan Kumar and M.S. Narasimhan
alg-geom/9511011
The 2-dimensional jacobian conjecture via Klein's program
We investigate the 2-dimensional jacobian conjecture via Klein's program.
1995-11-21
2008-02-03
[ "alg-geom", "math.AG" ]
Pavel Katsylo
alg-geom/9511010
On discriminants of polylinear forms
In this paper we propose a conseptual framework for the observed properties of discriminants of polylinear forms. The connection with classical problems of linear algebra is shown. A new class of algebraic varieties (hypergrassmanians) is introduced, the particular case of which are grassman manifolds. An algorithm is ...
1995-11-20
2008-02-03
[ "alg-geom", "math.AG" ]
Valerii V. Dolotin
alg-geom/9511009
Cohomology of compact hyperkaehler manifolds and its applications
This article contains a compression of results from alg-geom/9501001, with most proofs omitted. We prove that every two points of the connected moduli space of holomorphically symplectic manifolds can be connected with so-called ``twistor lines'' -- projective lines holomorphically embedded to the moduli space and corr...
1995-11-16
2008-02-03
[ "alg-geom", "math.AG" ]
Misha Verbitsky
alg-geom/9511008
Evolutions, Symbolic Squares, and Fitting Ideals
Given a reduced local algebra $T$ over a suitable ring or field $k$ we study the question of whether there are nontrivial algebra surjections $R\to T$ which induce isomorphisms $\Omega_{R/k}\otimes T \to \Omega_{T/k}$. Such maps, called evolutions, arise naturally in the study of Hecke algebras, as they implicitly do i...
1995-11-15
2008-02-03
[ "alg-geom", "math.AC", "math.AG" ]
David Eisenbud and Barry Mazur
alg-geom/9511007
Perverse sheaves on a Loop group and Langlands' duality
An intrinsic construction of the tensor category of finite dimensional representations of the Langlands dual group of G in terms of a tensor category of perverse sheaves on the loop group, LG, is given. The construction is applied to the study of the topology of the affine Grassmannian of G and to establishing a Langla...
1995-11-13
2008-02-03
[ "alg-geom", "hep-th", "math.AG", "math.QA", "q-alg" ]
Victor Ginzburg
alg-geom/9511005
How to Construct Curves over Finite Fields With Many Points
In this paper we give several methods to construct curves over finite fields with many points and illustrate this with examples of the results.
1995-11-08
2008-02-03
[ "alg-geom", "math.AG" ]
Gerard van der Geer and Marcel van der Vlugt
alg-geom/9511006
On the intersections of rational curves with cubic plane curves
Let C be a smooth cubic curve in the complex projective plane. We show that for every positive integer k, there are only finite number of rational curves of degree k each intersects the cubic C at exactly one point. The number of such rational curves is known when k is 1, as a smooth cubic has 9 flexes points. This num...
1995-11-08
2008-02-03
[ "alg-geom", "math.AG" ]
Geng Xu
alg-geom/9511004
Faisceaux automorphes pour GL(n): la premiere construction de Drinfeld
Drinfeld a associe a tout systeme local irreductible de rang 2 sur une surface de Riemann compacte un "faisceau automorphe". Ce faisceau automorphe vit sur l'espace de modules des fibres vectoriels de rang 2 sur cette meme surface de Riemann. En fait, Drinfeld a donne deux constructions de ce faisceau automorphe. La ...
1995-11-07
2008-02-03
[ "alg-geom", "math.AG" ]
Gerard Laumon
alg-geom/9511003
Geography of Brill-Noether loci for small slopes
Let $X$ be a non-singular projective curve of genus $g\ge2$ over an algebraically closed field of characteristic zero. Let $\mo$ denote the moduli space of stable bundles of rank $n$ and degree $d$ on $X$ and $\wn $ the Brill-Noether loci in $\mo .$ We prove that, if $0\leq d \leq n $ and $\wn $ is non-empty, then it i...
1995-11-06
2008-02-03
[ "alg-geom", "math.AG" ]
L. Brambila Paz, I. Grzegorczyk, and P. E. Newstead
alg-geom/9511002
Constructing Indecomposable Motivic Cohomology Classes on Algebraic Surfaces
We describe a method to construct indecomposable classes in Bloch's higher Chow group $CH^2(X,1)$ on algebraic surfaces over the complex numbers via transcendental methods and apply it to obtain examples on K3-surfaces and some surfaces of general type.
1995-11-02
2014-10-24
[ "alg-geom", "math.AG" ]
Stefan M\"uller-Stach
alg-geom/9510003
Instantons and affine Lie algebras
Various constructions of the affine Lie algebra action on the homology group of moduli spaces of instantons on 4-manifolds are discussed. The analogy between the local-global principle and the role of mass is also explained. The detailed proofs are given in separated papers \cite{Na-algebra,Na-Hilbert}.
1995-11-02
2011-07-19
[ "alg-geom", "hep-th", "math.AG", "math.QA", "q-alg" ]
Hiraku Nakajima