id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
hep-th/9109015 | On the solutions to the string equation | The set of solutions to the string equation $[P,Q]=1$ where $P$ and $Q$ are
differential operators is described.It is shown that there exists one-to-one
correspondence between this set and the set of pairs of commuting differential
operators.This fact permits us to describe the set of solutions to the string
equation i... | 1991-09-10 | 2009-10-22 | [
"hep-th"
] | A.Schwarz |
hep-th/9109014 | Generalized Drinfeld-Sokolov Hierarchies II: The Hamiltonian Structures | In this paper we examine the bi-Hamiltonian structure of the generalized
KdV-hierarchies. We verify that both Hamiltonian structures take the form of
Kirillov brackets on the Kac-Moody algebra, and that they define a coordinated
system. Classical extended conformal algebras are obtained from the second
Poisson bracket.... | 1991-09-10 | 2015-06-26 | [
"hep-th"
] | Nigel J. Burroughs, Mark F. deGroot, Timothy J. Hollowood and J. Luis
Miramontes |
hep-th/9109010 | W3 Constructions on Affine Lie Algebras | We use an argument of Romans showing that every Virasoro construction leads
to realizations of $W_3$, to construct $W_3$ realizations on arbitrary affine
Lie algebras. Solutions are presented for generic values of the level as well
as for specific values of the level but with arbitrary parameters. We give a
detailed di... | 1991-09-09 | 2009-10-22 | [
"hep-th"
] | A. Deckmyn and S. Schrans |
hep-th/9109009 | Bi-Hamiltonian Sturcture of Super KP Hierarchy | We obtain the bi-Hamiltonian structure of the super KP hierarchy based on the
even super KP operator $\Lambda = \theta^{2} + \sum^{\infty}_{i=-2}U_{i}
\theta^{-i-1}$, as a supersymmetric extension of the ordinary KP bi-Hamiltonian
structure. It is expected to give rise to a universal super $W$-algebra
incorporating all... | 1991-09-06 | 2007-05-23 | [
"hep-th"
] | Feng Yu |
hep-th/9109008 | Effective Superstrings | We generalize the method of quantizing effective strings proposed by
Polchinski and Strominger to superstrings. The Ramond-Neveu-Schwarz string is
different from the Green-Schwarz string in non-critical dimensions. Both are
anomaly-free and Poincare invariant. Some implications of the results are
discussed. The formal ... | 1991-09-05 | 2009-10-22 | [
"hep-th"
] | Zhu Yang |
hep-th/9109007 | High Temperature Limit of the Confining Phase | The deconfining transition in non-Abelian gauge theory is known to occur by a
condensation of Wilson lines. By expanding around an appropriate Wilson line
background, it is possible at large $N$ to analytically continue the confining
phase to arbitrarily high temperatures, reaching a weak coupling confinement
regime. T... | 1991-09-05 | 2009-10-09 | [
"hep-th"
] | Joseph Polchinski |
hep-th/9109006 | (2+1)-Dimensional Chern-Simons Gravity as a Dirac Square Root | For (2+1)-dimensional spacetimes with the spatial topology of a torus, the
transformation between the Chern-Simons and ADM versions of quantum gravity is
constructed explicitly, and the wave functions are compared. It is shown that
Chern-Simons wave functions correspond to modular forms of weight 1/2, that is,
spinors ... | 1991-09-04 | 2014-11-18 | [
"hep-th"
] | Steven Carlip |
hep-th/9109004 | Bosonisation of the Complex-boson realisation of $W_\infty$ | We bosonise the complex-boson realisations of the $W_\infty$ and
$W_{1+\infty}$ algebras. We obtain nonlinear realisations of $W_\infty$ and
$W_{1+\infty}$ in terms of a pair of fermions and a real scalar. By further
bosonising the fermions, we then obtain realisations of $W_\infty$ in terms of
two scalars. Keeping the... | 1991-09-04 | 2009-10-22 | [
"hep-th"
] | X. Shen and X.J. Wang |
hep-th/9109005 | World Sheet and Space Time Physics in Two Dimensional (Super) String
Theory | We show that tree level ``resonant'' $N$ tachyon scattering amplitudes, which
define a sensible ``bulk'' S -- matrix in critical (super) string theory in any
dimension, have a simple structure in two dimensional space time, due to
partial decoupling of a certain infinite set of discrete states. We also argue
that the g... | 1991-09-04 | 2009-10-22 | [
"hep-th"
] | P. Di Francesco and D. Kutasov |
hep-th/9109002 | Ashtekar's Approach to Quantum Gravity | A review is given of work by Abhay Ashtekar and his colleagues Carlo Rovelli,
Lee Smolin, and others, which is directed at constructing a nonperturbative
quantum theory of general relativity. | 1991-09-03 | 2007-05-23 | [
"hep-th"
] | Gary T. Horowitz |
hep-th/9109003 | The renormalization group flow in 2D N=2 SUSY Landau-Ginsburg models | We investigate the renormalization of N=2 SUSY L-G models with central charge
$c=3p/(2+p)$ perturbed by an almost marginal chiral operator. We calculate the
renormalization of the chiral fields up to $gg{^*}$ order and of nonchiral
fields up to $g(g^{*})$ order. We propose a formulation of the
nonrenormalization theore... | 1991-09-03 | 2008-11-26 | [
"hep-th"
] | Jadwiga Bienkowska |
hep-th/9109001 | Fractional Superstrings with Space-Time Critical Dimensions Four and Six | We propose possible new string theories based on local world-sheet symmetries
corresponding to extensions of the Virasoro algebra by fractional spin
currents. They have critical central charges $c=6(K+8)/(K+2)$ and Minkowski
space-time dimensions $D=2+16/K$ for $K\geq2$ an integer. We present evidence
for their existen... | 1991-09-02 | 2009-10-22 | [
"hep-th"
] | Philip C. Argyres and S.-H. Henry Tye |
hep-th/9108027 | Factorization and Topological States in $c=1$ Matter Coupled to 2-D
Gravity | Factorization of the $N$-point amplitudes in two-dimensional $c=1$ quantum
gravity is understood in terms of short-distance singularities arising from the
operator product expansion of vertex operators after the Liouville zero mode
integration. Apart from the tachyon states, there are infinitely many
topological states... | 1991-08-30 | 2009-10-22 | [
"hep-th"
] | Norisuke Sakai, Yoshiaki Tanii |
hep-th/9108026 | Superstring in Two Dimensional Black Hole | We construct superstring theory in two dimensional black hole background
based on supersymmetric $SU(1,1)/U(1)$ gauged Wess-Zumino-Witten model. | 1991-08-29 | 2011-04-20 | [
"hep-th"
] | Shin'ichi Nojiri |
hep-th/9108024 | On the S-matrix of the Sub-leading Magnetic Deformation of the
Tricritical Ising Model in Two Dimensions | We compute the $S$-matrix of the Tricritical Ising Model perturbed by the
subleading magnetic operator using Smirnov's RSOS reduction of the
Izergin-Korepin model. The massive model contains kink excitations which
interpolate between two degenerate asymmetric vacua. As a consequence of the
different structure of the tw... | 1991-08-27 | 2015-06-26 | [
"hep-th"
] | F. Colomo, A. Koubek, G. Mussardo |
hep-th/9108023 | Fock space resolutions of the Virasoro highest weight modules with c<=1 | We extend Felder's construction of Fock space resolutions for the Virasoro
minimal models to all irreducible modules with $c\leq 1$. In particular, we
provide resolutions for the representations corresponding to the boundary and
exterior of the Kac table. | 1991-08-27 | 2009-09-11 | [
"hep-th"
] | Peter Bouwknegt, Jim McCarthy and Krzysztof Pilch |
hep-th/9108019 | String Theory in Two Dimensions | I review some of the recent progress in two-dimensional string theory, which
is formulated as a sum over surfaces embedded in one dimension. | 1991-08-26 | 2008-02-03 | [
"hep-th"
] | Igor R. Klebanov |
hep-th/9108021 | The big picture | We discuss the conformal field theory and string field theory of the NSR
superstring using a BRST operator with a nonminimal term, which allows all
bosonic ghost modes to be paired into creation and annihilation operators.
Vertex operators for the Neveu-Schwarz and Ramond sectors have the same ghost
number, as do strin... | 1991-08-26 | 2009-10-22 | [
"hep-th"
] | N. Berkovits, M.T. Hatsuda, and W. Siegel |
hep-th/9108020 | String Theory and the Donaldson Polynomial | It is shown that the scattering of spacetime axions with fivebrane solitons
of heterotic string theory at zero momentum is proportional to the Donaldson
polynomial. | 1991-08-26 | 2009-09-17 | [
"hep-th"
] | J.A.Harvey and A.Strominger |
hep-th/9108022 | Superstring Compactification and Target Space Duality | This review talk focusses on some of the interesting developments in the area
of superstring compactification that have occurred in the last couple of years.
These include the discovery that ``mirror symmetric" pairs of Calabi--Yau
spaces, with completely distinct geometries and topologies, correspond to a
single (2,2)... | 1991-08-26 | 2007-05-23 | [
"hep-th"
] | John H. Schwarz |
hep-th/9108025 | Correlation functions in super Liouville theory | We calculate three- and four-point functions in super Liouville theory
coupled to super Coulomb gas on world sheets with spherical topology. We first
integrate over the zero mode and assume that a parameter takes an integer
value. After calculating the amplitudes, we formally continue the parameter to
an arbitrary real... | 1991-08-24 | 2009-10-22 | [
"hep-th"
] | E. Abdalla, M.C.B. Abdalla, D.Dalmazi, Koji Harada |
hep-th/9108015 | A $U(N)$ Gauge Theory in Three Dimensions as an Ensemble of Surfaces | A particular $U(N)$ gauge theory defined on the three dimensional
dodecahedral lattice is shown to correspond to a model of oriented
self-avoiding surfaces. Using large $N$ reduction it is argued that the model
is partially soluble in the planar limit. | 1991-08-23 | 2009-10-22 | [
"hep-th"
] | F. David, H. Neuberger |
hep-th/9108018 | Real Forms of Complex Quantum Anti de Sitter Algebra $U_q (Sp(4,C))$ and
their Contraction Schemes | We describe four types of inner involutions of the Cartan-Weyl basis
providing (for $ |q|=1$ and $q$ real) three types of real quantum Lie algebras:
$U_{q}(O(3,2))$ (quantum D=4 anti-de-Sitter), $U_{q}(O(4,1))$ (quantum D=4
de-Sitter) and $U_{q}(O(5))$. We give also two types of inner involutions of
the Cartan-Chevalle... | 1991-08-23 | 2009-10-22 | [
"hep-th"
] | J. Lukierski, A. Novicki and H. Ruegg |
hep-th/9108017 | A New Solution to the Star--Triangle Equation Based on U$_q$(sl(2)) at
Roots of Unit | We find new solutions to the Yang--Baxter equation in terms of the
intertwiner matrix for semi-cyclic representations of the quantum group
$U_q(s\ell(2))$ with $q= e^{2\pi i/N}$. These intertwiners serve to define the
Boltzmann weights of a lattice model, which shares some similarities with the
chiral Potts model. An a... | 1991-08-23 | 2009-10-22 | [
"hep-th"
] | Cesar Gomez and German Sierra |
hep-th/9108016 | Non-Perturbative 2D Quantum Gravity, Again | This is a talk given by S.D. at the the workshop on Random Surfaces and 2D
Quantum Gravity, Barcelona 10-14 June 1991. It is an updated review of recent
work done by the authors on a proposal for non-perturbatively stable 2D quantum
gravity coupled to c<1 matter, based on the flows of the (generalised) KdV
hierarchy. | 1991-08-23 | 2009-10-22 | [
"hep-th"
] | S.Dalley, C.Johnson and T.Morris |
hep-th/9108014 | Loop Equations and the Topological Phase of Multi-Cut Matrix Models | We study the double scaling limit of mKdV type, realized in the two-cut
Hermitian matrix model. Building on the work of Periwal and Shevitz and of
Nappi, we find an exact solution including all odd scaling operators, in terms
of a hierarchy of flows of $2\times 2$ matrices. We derive from it loop
equations which can be... | 1991-08-22 | 2015-06-26 | [
"hep-th"
] | C. Crnkovic, M. Douglas, G. Moore |
hep-th/9108012 | On the Perturbations of String-Theoretic Black Holes | The perturbations of string-theoretic black holes are analyzed by
generalizing the method of Chandrasekhar. Attention is focussed on the case of
the recently considered charged string-theoretic black hole solutions as a
representative example. It is shown that string-intrinsic effects greatly alter
the perturbed motion... | 1991-08-22 | 2007-05-23 | [
"hep-th"
] | Gerald Gilbert |
hep-th/9108013 | Differential Equations for Periods and Flat Coordinates in Two
Dimensionsional Topological Matter Theories | We derive directly from the N=2 LG superpotential the differential equations
that determine the flat coordinates of arbitrary topological CFT's. | 1991-08-22 | 2009-10-22 | [
"hep-th"
] | W.Lerche, D.Smit, and N. Warner |
hep-th/9108010 | String Winding in a Black Hole Geometry | $U(1)$ zero modes in the $SL(2,R)_k/U(1)$ and $SU(2)_k/U(1)$ conformal coset
theories, are investigated in conjunction with the string black hole solution.
The angular variable in the Euclidean version, is found to have a double set of
winding. Region III is shown to be $SU(2)_k/U(1)$ where the doubling accounts
for th... | 1991-08-21 | 2007-05-23 | [
"hep-th"
] | Mordechai Spiegelglas |
hep-th/9108011 | Twisted Black p-Brane Solutions in String Theory | It has been shown that given a classical background in string theory which is
independent of $d$ of the space-time coordinates, we can generate other
classical backgrounds by $O(d)\otimes O(d)$ transformation on the solution. We
study the effect of this transformation on the known black $p$-brane solutions
in string th... | 1991-08-21 | 2009-09-15 | [
"hep-th"
] | Ashoke Sen |
hep-th/9108008 | Novel Symmetries of Topological Conformal Field theories | We show that various actions of topological conformal theories that were
suggested recentely are particular cases of a general action. We prove the
invariance of these models under transformations generated by nilpotent
fermionic generators of arbitrary conformal dimension, $\Q$ and $\G$. The later
are shown to be the ... | 1991-08-20 | 2007-05-23 | [
"hep-th"
] | J. Sonnenschein and S. Yankielowicz |
hep-th/9108009 | Solving 3+1 QCD on the Transverse Lattice Using 1+1 Conformal Field
Theory | A new transverse lattice model of $3+1$ Yang-Mills theory is constructed by
introducing Wess-Zumino terms into the 2-D unitary non-linear sigma model
action for link fields on a 2-D lattice. The Wess-Zumino terms permit one to
solve the basic non-linear sigma model dynamics of each link, for discrete
values of the bare... | 1991-08-20 | 2009-10-22 | [
"hep-th"
] | Paul A. Griffin |
hep-th/9108006 | Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity | It is shown that, in the three-dimensional lattice gravity defined by Ponzano
and Regge, the space of physical states is isomorphic to the space of
gauge-invariant functions on the moduli space of flat $SU(2)$ connections over
a two-dimensional surface, which gives physical states in the $ISO(3)$
Chern-Simons gauge the... | 1991-08-20 | 2009-09-17 | [
"hep-th"
] | Hirosi Ooguri and Naoki Sasakura |
hep-th/9108007 | Infinite Quantum Group Symmetry of Fields in Massive 2D Quantum Field
Theory | Starting from a given S-matrix of an integrable quantum field theory in $1+1$
dimensions, and knowledge of its on-shell quantum group symmetries, we describe
how to extend the symmetry to the space of fields. This is accomplished by
introducing an adjoint action of the symmetry generators on fields, and
specifying the ... | 1991-08-20 | 2015-06-26 | [
"hep-th"
] | A. LeCLair and F. Smirnov |
hep-th/9108005 | Fusion Residues | We discuss when and how the Verlinde dimensions of a rational conformal field
theory can be expressed as correlation functions in a topological LG theory. It
is seen that a necessary condition is that the RCFT fusion rules must exhibit
an extra symmetry. We consider two particular perturbations of the Grassmannian
supe... | 1991-08-19 | 2015-06-26 | [
"hep-th"
] | Kenneth Intriligator |
hep-th/9108004 | Ground Ring Of Two Dimensional String Theory | String theories with two dimensional space-time target spaces are
characterized by the existence of a ``ground ring'' of operators of spin
$(0,0)$. By understanding this ring, one can understand the symmetries of the
theory and illuminate the relation of the critical string theory to matrix
models. The symmetry groups ... | 1991-08-16 | 2010-04-07 | [
"hep-th"
] | Edward Witten |
hep-th/9108002 | Hamiltonian construction of W-gravity actions | We show that all W-gravity actions can be easilly constructed and understood
from the point of view of the Hamiltonian formalism for the constrained
systems. This formalism also gives a method of constructing gauge invariant
actions for arbitrary conformally extended algebras. | 1991-08-15 | 2009-01-16 | [
"hep-th"
] | A. Mikovic |
hep-th/9108003 | Supersymmetric Gelfand-Dickey Algebra | We study the classical version of supersymmetric $W$-algebras. Using the
second Gelfand-Dickey Hamiltonian structure we work out in detail $W_2$ and
$W_3$-algebras. | 1991-08-15 | 2015-06-26 | [
"hep-th"
] | Katri Huitu and Dennis Nemeschansky |
hep-th/9108001 | Exact Black String Solutions in Three Dimensions | A family of exact conformal field theories is constructed which describe
charged black strings in three dimensions. Unlike previous charged black hole
or extended black hole solutions in string theory, the low energy spacetime
metric has a regular inner horizon (in addition to the event horizon) and a
timelike singular... | 1991-08-14 | 2009-10-22 | [
"hep-th"
] | James H. Horne and Gary T. Horowitz |
math/9201305 | Alternating sign matrices and domino tilings | We introduce a family of planar regions, called Aztec diamonds, and study the
ways in which these regions can be tiled by dominoes. Our main result is a
generating function that not only gives the number of domino tilings of the
Aztec diamond of order $n$ but also provides information about the orientation
of the domin... | 1991-06-01 | 2008-02-03 | [
"math.CO"
] | Noam Elkies (Harvard), Greg Kuperberg (UC Berkeley), Michael Larsen (U
Penn), James Propp (MIT) |
math/9201299 | Geometric finiteness and uniqueness for Kleinian groups with circle
packing limit sets | In this paper, we assume that $G$ is a finitely generated torsion free
non-elementary Kleinian group with $\Omega(G)$ nonempty. We show that the
maximal number of elements of $G$ that can be pinched is precisely the maximal
number of rank 1 parabolic subgroups that any group isomorphic to $G$ may
contain. A group with ... | 1991-12-11 | 2016-09-06 | [
"math.DG",
"math.GT"
] | Linda Keen, Bernard Maskit, Caroline Series |
math/9201298 | On removable sets for Sobolev spaces in the plane | Let $K$ be a compact subset of $\bar{\bold C} ={\bold R}^2$ and let $K^c$
denote its complement. We say $K\in HR$, $K$ is holomorphically removable, if
whenever $F:\bar{\bold C} \to\bar{\bold C}$ is a homeomorphism and $F$ is
holomorphic off $K$, then $F$ is a M\"obius transformation. By composing with a
M\"obius trans... | 1991-11-26 | 2016-09-06 | [
"math.DS"
] | Peter Jones |
math/9201297 | Periodic orbits for Hamiltonian systems in cotangent bundles | We prove the existence of at least $cl(M)$ periodic orbits for certain time
dependant Hamiltonian systems on the cotangent bundle of an arbitrary compact
manifold $M$. These Hamiltonians are not necessarily convex but they satisfy a
certain boundary condition given by a Riemannian metric on $M$. We discretize
the varia... | 1991-11-11 | 2008-02-03 | [
"math.DS"
] | Christopher Gol\'e |
math/9201296 | On the realization of fixed point portraits (an addendum to Goldberg,
Milnor: Fixed point portraits) | We establish that every formal critical portrait (as defined by Goldberg and
Milnor), can be realized by a postcritically finite polynomial. | 1991-10-27 | 2008-02-03 | [
"math.DS"
] | Alfredo Poirier |
math/9201294 | On the quasisymmetrical classification of infinitely renormalizable
maps: I. Maps with Feigenbaum's topology. | A semigroup (dynamical system) generated by $C^{1+\alpha}$-contracting
mappings is considered. We call a such semigroup regular if the maximum $K$ of
the conformal dilatations of generators, the maximum $l$ of the norms of the
derivatives of generators and the smoothness $\alpha$ of the generators satisfy
a compatibili... | 1991-10-11 | 2016-09-06 | [
"math.DS"
] | Yunping Jiang |
math/9201295 | On the quasisymmetrical classification of infinitely renormalizable
maps: II. remarks on maps with a bounded type topology. | We use the upper and lower potential functions and Bowen's formula estimating
the Hausdorff dimension of the limit set of a regular semigroup generated by
finitely many $C^{1+\alpha}$-contracting mappings. This result is an
application of the geometric distortion lemma in the first paper at this
series. | 1991-10-11 | 2016-09-06 | [
"math.DS"
] | Yunping Jiang |
math/9201293 | Dynamics of certain non-conformal degree two maps on the plane | In this paper we consider maps on the plane which are similar to quadratic
maps in that they are degree 2 branched covers of the plane. In fact, consider
for $\alpha$ fixed, maps $f_c$ which have the following form (in polar
coordinates):
$$f_c(r\,e^{i\theta})\;=\;r^{2\alpha}\,e^{2i\theta}\,+\,c$$
When $\alpha=1$, ... | 1991-09-26 | 2011-07-26 | [
"math.DS"
] | Ben Bielefeld, Scott Sutherland, Folkert Tangerman, J. J. P. Veerman |
math/9201292 | Quasisymmetric conjugacies between unimodal maps | It is shown that some topological equivalency classes of S-unimodal maps are
equal to quasisymmetric conjugacy classes. This includes some infinitely
renormalizable polynomials of unbounded type. | 1991-08-27 | 2009-09-25 | [
"math.DS"
] | Michael Jakobson, Grzegorz Swiatek |
math/9201291 | The Fibonacci unimodal map | This paper will study topological, geometrical and measure-theoretical
properties of the real Fibonacci map. Our goal was to figure out if this type
of recurrence really gives any pathological examples and to compare it with the
infinitely renormalizable patterns of recurrence studied by Sullivan. It turns
out that the... | 1991-08-12 | 2016-09-06 | [
"math.DS"
] | Mikhail Lyubich, John W. Milnor |
math/9201290 | The "spectral" decomposition for one-dimensional maps | We construct the "spectral" decomposition of the sets $\bar{Per\,f}$,
$\omega(f)=\cup\omega(x)$ and $\Omega(f)$ for a continuous map $f$ of the
interval to itself. Several corollaries are obtained; the main ones describe
the generic properties of $f$-invariant measures, the structure of the set
$\Omega(f)\setminus \bar... | 1991-07-27 | 2016-01-25 | [
"math.DS"
] | Alexander M. Blokh |
math/9201289 | Periods implying almost all periods, trees with snowflakes, and zero
entropy maps | Let $X$ be a compact tree, $f$ be a continuous map from $X$ to itself,
$End(X)$ be the number of endpoints and $Edg(X)$ be the number of edges of $X$.
We show that if $n>1$ has no prime divisors less than $End(X)+1$ and $f$ has a
cycle of period $n$, then $f$ has cycles of all periods greater than
$2End(X)(n-1)$ and to... | 1991-07-12 | 2016-01-25 | [
"math.DS"
] | Alexander M. Blokh |
math/9201287 | Dynamics of certain smooth one-dimensional mappings III: Scaling
function geometry | We study scaling function geometry. We show the existence of the scaling
function of a geometrically finite one-dimensional mapping. This scaling
function is discontinuous. We prove that the scaling function and the
asymmetries at the critical points of a geometrically finite one-dimensional
mapping form a complete set... | 1991-06-27 | 2008-02-03 | [
"math.DS"
] | Yunping Jiang |
math/9201288 | Dynamics of certain smooth one-dimensional mappings IV: Asymptotic
geometry of Cantor sets | We study hyperbolic mappings depending on a parameter $\varepsilon $. Each of
them has an invariant Cantor set. As $\varepsilon $ tends to zero, the mapping
approaches the boundary of hyperbolicity. We analyze the asymptotics of the gap
geometry and the scaling function geometry of the invariant Cantor set as
$\varepsi... | 1991-06-27 | 2016-09-06 | [
"math.DS"
] | Yunping Jiang |
math/9201286 | Ergodic theory for smooth one-dimensional dynamical systems | In this paper we study measurable dynamics for the widest reasonable class of
smooth one dimensional maps. Three principle decompositions are described in
this class : decomposition of the global measure-theoretical attractor into
primitive ones, ergodic decomposition and Hopf decomposition. For maps with
negative Schw... | 1991-06-12 | 2016-09-06 | [
"math.DS"
] | Mikhail Lyubich |
math/9201285 | On the Lebesgue measure of the Julia set of a quadratic polynomial | The goal of this note is to prove the following theorem: Let $p_a(z) = z^2+a$
be a quadratic polynomial which has no irrational indifferent periodic points,
and is not infinitely renormalizable. Then the Lebesgue measure of the Julia
set $J(p_a)$ is equal to zero.
As part of the proof we discuss a property of the cri... | 1991-05-28 | 2016-09-06 | [
"math.DS"
] | Mikhail Lyubich |
math/9201284 | The Teichm\"uller space of an Anosov diffeomorphism of $T^2$ | In this paper we consider the space of smooth conjugacy classes of an Anosov
diffeomorphism of the two-torus. The only 2-manifold that supports an Anosov
diffeomorphism is the 2-torus, and Franks and Manning showed that every such
diffeomorphism is topologically conjugate to a linear example, and furthermore,
the eigen... | 1991-05-12 | 2016-09-06 | [
"math.DS"
] | Elise E. Cawley |
math/9201283 | Critical circle maps near bifurcation | We estimate harmonic scalings in the parameter space of a one-parameter
family of critical circle maps. These estimates lead to the conclusion that the
Hausdorff dimension of the complement of the frequency-locking set is less than
$1$ but not less than $1/3$. Moreover, the rotation number is a H\"{o}lder
continuous fu... | 1991-04-27 | 2016-09-06 | [
"math.DS"
] | Jacek Graczyk, Grzegorz Swiatek |
math/9201282 | The Hausdorff dimension of the boundary of the Mandelbrot set and Julia
sets | It is shown that the boundary of the Mandelbrot set $M$ has Hausdorff
dimension two and that for a generic $c \in \bM$, the Julia set of $z \mapsto
z^2+c$ also has Hausdorff dimension two. The proof is based on the study of the
bifurcation of parabolic periodic points. | 1991-04-12 | 2016-09-06 | [
"math.DS"
] | Mitsuhiro Shishikura |
math/9201281 | Expanding direction of the period doubling operator | We prove that the period doubling operator has an expanding direction at the
fixed point. We use the induced operator, a ``Perron-Frobenius type operator'',
to study the linearization of the period doubling operator at its fixed point.
We then use a sequence of linear operators with finite ranks to study this
induced o... | 1991-03-28 | 2016-09-06 | [
"math.DS"
] | Yunping Jiang, Takehiko Morita, Dennis Sullivan |
math/9201280 | Polynomial root-finding algorithms and branched covers | We construct a family of root-finding algorithms which exploit the branched covering structure of a polynomial of degree $d$ with a path-lifting algorithm for finding individual roots. In particular, the family includes an algorithm that computes an $ε$-factorization of the polynomial which has an arithmetic complexit... | 1991-03-13 | 2025-10-20 | [
"math.DS",
"cs.NA",
"math.NA"
] | Myong-Hi Kim, Scott Sutherland |
math/9201279 | A partial description of the parameter space of rational maps of degree
two: Part 2 | This continues the investigation of a combinatorial model for the variation
of dynamics in the family of rational maps of degree two, by concentrating on
those varieties in which one critical point is periodic. We prove some general
results about nonrational critically finite degree two branched coverings, and
finally ... | 1991-02-25 | 2009-09-25 | [
"math.DS"
] | Mary Rees |
math/9201277 | Dynamics of certain smooth one-dimensional mappings I: The
$C^{1+\alpha}$-Denjoy-Koebe distortion lemma | We prove a technical lemma, the $C^{1+\alpha }$-Denjoy-Koebe distortion
lemma, estimating the distortion of a long composition of a $C^{1+\alpha }$
one-dimensional mapping $f:M\mapsto M$ with finitely many, non-recurrent, power
law critical points. The proof of this lemma combines the ideas of the
distortion lemmas of ... | 1991-01-11 | 2016-09-06 | [
"math.DS"
] | Yunping Jiang |
math/9201278 | Dynamics of certain smooth one-dimensional mappings II: geometrically
finite one-dimensional mappings | We study geometrically finite one-dimensional mappings. These are a subspace
of $C^{1+\alpha}$ one-dimensional mappings with finitely many, critically
finite critical points. We study some geometric properties of a mapping in this
subspace. We prove that this subspace is closed under quasisymmetrical
conjugacy. We also... | 1991-01-11 | 2008-02-03 | [
"math.DS"
] | Yunping Jiang |
math/9201236 | On certain classes of Baire-1 functions with applications to Banach
space theory | Certain subclasses of $B_1(K)$, the Baire-1 functions on a compact metric
space $K$, are defined and characterized. Some applications to Banach spaces
are given. | 1991-12-31 | 2009-09-25 | [
"math.FA"
] | Richard Haydon, Edward Odell, and Haskell P. Rosenthal |
math/9201235 | On the distribution of Sidon series | Let B denote an arbitrary Banach space, G a compact abelian group with Haar
measure $\mu$ and dual group $\Gamma$. Let E be a Sidon subset of $\Gamma$ with
Sidon constant S(E). Let r_n denote the n-th Rademacher function on [0, 1]. We
show that there is a constant c, depending only on S(E), such that, for all
$\alpha >... | 1991-12-10 | 2008-02-03 | [
"math.FA"
] | Nakhl\'e Asmar and Stephen J. Montgomery-Smith |
math/9201234 | Analytic Disks in Fibers over the Unit Ball of a Banach Space | We study biorthogonal sequences with special properties, such as weak or
weak-star convergence to 0, and obtain an extension of the Josefson-Nissenzweig
theorem. This result is applied to embed analytic disks in the fiber over 0 of
the spectrum of H^infinity (B), the algebra of bounded analytic functions on
the unit ba... | 1991-10-11 | 2016-09-06 | [
"math.FA"
] | B. J. Cole, T. W. Gamelin, William B. Johnson |
math/9201233 | On J. Borwein's concept of sequentially reflexive Banach spaces | A Banach space $X$ is reflexive if the Mackey topology $\tau(X^*,X)$ on $X^*$
agrees with the norm topology on $X^*$. Borwein [B] calls a Banach space $X$
{\it sequentially reflexive\/} provided that every $\tau(X^*,X)$ convergent
{\it sequence\/} in $X^*$ is norm convergent. The main result in [B] is that
$X$ is seque... | 1991-10-09 | 2016-09-06 | [
"math.FA"
] | Peter {\O}rno |
math/9201232 | The K_t-functional for the interpolation couple L_1(A_0),L_infinity(A_1) | Let (A_0,A_1) be a compatible couple of Banach spaces in the interpolation
theory sense. We give a formula for the K_t-functional of the interpolation
couples (l_1(A_0),c_0(A_1)) or (l_1(A_0),l_infinity(A_1)) and
(L_1(A_0),L_infinity(A_1)). | 1991-09-21 | 2008-02-03 | [
"math.FA"
] | Gilles Pisier |
math/9201230 | Banach spaces with Property (w) | A Banach space E is said to have Property (w) if every (bounded linear)
operator from E into E' is weakly compact. We give some interesting examples of
James type Banach spaces with Property (w). We also consider the passing of
Property (w) from E to C(K,E). | 1991-07-24 | 2016-09-06 | [
"math.FA"
] | Denny H. Leung |
math/9201231 | A Gordon-Chevet type Inequality | We prove a new inequality for Gaussian processes, this inequality implies the
Gordon-Chevet inequality. Some remarks on Gaussian proofs of Dvoretzky's
theorem are given. | 1991-07-24 | 2009-09-25 | [
"math.FA"
] | B. Khaoulani |
math/9201229 | Interpolation between H^p spaces and non-commutative generalizations, I | We give an elementary proof that the $H^p$ spaces over the unit disc (or the
upper half plane) are the interpolation spaces for the real method of
interpolation between $H^1$ and $H^\infty$. This was originally proved by Peter
Jones. The proof uses only the boundedness of the Hilbert transform and the
classical factori... | 1991-06-04 | 2008-02-03 | [
"math.FA"
] | Gilles Pisier |
math/9201228 | A simple proof of a theorem of Jean Bourgain | We give a simple proof of Bourgain's disc algebra version of Grothendieck's
theorem, i.e. that every operator on the disc algebra with values in $L_1$ or
$L_2$ is 2-absolutely summing and hence extends to an operator defined on the
whole of $C$. This implies Bourgain's result that $L_1/H^1$ is of cotype 2. We
also prov... | 1991-06-03 | 2009-09-25 | [
"math.FA"
] | Gilles Pisier |
math/9201226 | Interpolation of operators when the extreme spaces are $L^\infty$ | In this paper, equivalence between interpolation properties of linear
operators and monotonicity conditions are studied, for a pair $(X_0,X_1)$ of
rearrangement invariant quasi Banach spaces, when the extreme spaces of the
interpolation are $L^\infty$ and a pair $(A_0,A_1)$ under some assumptions.
Weak and restricted w... | 1991-04-29 | 2008-02-03 | [
"math.FA"
] | Jes\'us Bastero and Francisco J. Ruiz |
math/9201225 | An arbitrarily distortable Banach space | In this work we construct a ``Tsirelson like Banach space'' which is
arbitrarily distortable. | 1991-04-03 | 2007-06-13 | [
"math.FA"
] | Thomas Schlumprecht |
math/9201224 | On Schreier unconditional sequences | Let $(x_n)$ be a normalized weakly null sequence in a Banach space and let
$\varep>0$. We show that there exists a subsequence $(y_n)$ with the following
property: $$\hbox{ if }\ (a_i)\subseteq \IR\ \hbox{ and }\ F\subseteq \nat$$
satisfies $\min F\le |F|$ then $$\big\|\sum_{i\in F} a_i y_i\big\| \le
(2+\varep) \big\| ... | 1991-03-22 | 2008-02-03 | [
"math.FA"
] | Edward Odell |
math/9201222 | Non dentable sets in Banach spaces with separable dual | A non RNP Banach space E is constructed such that $E^{*}$ is separable and
RNP is equivalent to PCP on the subsets of E. | 1991-02-05 | 2009-09-25 | [
"math.FA"
] | Spiros A. Argyros, Irene Deliyanni |
math/9201223 | Level sets and the uniqueness of measures | A result of Nymann is extended to show that a positive $\sigma$-finite
measure with range an interval is determined by its level sets. An example is
given of two finite positive measures with range the same finite union of
intervals but with the property that one is determined by its level sets and
the other is not. | 1991-02-05 | 2008-02-03 | [
"math.FA"
] | Dale E. Alspach |
math/9201221 | Comparison of Orlicz-Lorentz spaces | Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and
Lorentz spaces. They have been studied by many authors, including Masty\l o,
Maligranda, and Kami\'nska. In this paper, we consider the problem of comparing
the Orlicz-Lorentz norms, and establish necessary and sufficient conditions for
them to ... | 1991-01-02 | 2008-02-03 | [
"math.FA"
] | Stephen J. Montgomery-Smith |
math/9201304 | Efficient representation of perm groups | This note presents an elementary version of Sims's algorithm for computing
strong generators of a given perm group, together with a proof of correctness
and some notes about appropriate low-level data structures. Upper and lower
bounds on the running time are also obtained. (Following a suggestion of
Vaughan Pratt, we ... | 1991-01-01 | 2008-02-03 | [
"math.GR"
] | Donald E. Knuth |
math/9201247 | On a conjecture of Tarski on products of cardinals | We look at an old conjecture of A. Tarski on cardinal arithmetic and show
that if a counterexample exists, then there exists one of length omega_1 +
omega . | 1991-01-15 | 2009-09-25 | [
"math.LO"
] | Thomas Jech, Saharon Shelah |
math/9201248 | A partition theorem for pairs of finite sets | Every partition of [[omega_1]^{< omega}]^2 into finitely many pieces has a
cofinal homogeneous set. Furthermore, it is consistent that every directed
partially ordered set satisfies the partition property if and only if it has
finite character. | 1991-01-15 | 2008-02-03 | [
"math.LO"
] | Thomas Jech, Saharon Shelah |
math/9201246 | The primal framework. II. Smoothness | This is the second in a series of articles developing abstract classification
theory for classes that have a notion of prime models over independent pairs
and over chains. It deals with the problem of smoothness and establishing the
existence and uniqueness of a `monster model'. We work here with a predicate
for a cano... | 1991-01-15 | 2016-09-06 | [
"math.LO"
] | John T. Baldwin, Saharon Shelah |
math/9201243 | The Hanf numbers of stationary logic. II. Comparison with other logics | We show that the ordering of the Hanf number of L_{omega, omega}(wo) (well
ordering), L^c_{omega, omega} (quantification on countable sets), L_{omega,
omega}(aa) (stationary logic) and second order logic, have no more restraints
provable in ZFC than previously known (those independence proofs assume
CON(ZFC) only). We ... | 1991-01-15 | 2013-10-22 | [
"math.LO"
] | Saharon Shelah |
math/9201245 | Viva la difference I: Nonisomorphism of ultrapowers of countable models | We show that it is not provable in ZFC that any two countable elementarily
equivalent structures have isomorphic ultrapowers relative to some ultrafilter
on omega . | 1991-01-15 | 2008-02-03 | [
"math.LO"
] | Saharon Shelah |
math/9201244 | Strong partition relations below the power set: consistency, was
Sierpinski right, II? | We continue here [She88] but we do not rely on it. The motivation was a
conjecture of Galvin stating that 2^{omega} >= omega_2 + omega_2->
[omega_1]^{n}_{h(n)} is consistent for a suitable h: omega-> omega. In section
5 we disprove this and give similar negative results. In section 3 we prove the
consistency of the con... | 1991-01-15 | 2024-01-30 | [
"math.LO"
] | Saharon Shelah |
math/9201227 | Remarks on complemented subspaces of von-Neumann algebras | In this note we include two remarks about bounded ($\underline{not}$
necessarily contractive) linear projections on a von Neumann-algebra. We show
that if $M$ is a von Neumann-subalgebra of $B(H)$ which is complemented in B(H)
and isomorphic to $M \otimes M$ then $M$ is injective (or equivalently $M$ is
contractively c... | 1991-05-31 | 2009-09-25 | [
"math.OA",
"math.FA"
] | Gilles Pisier |
math/9201302 | The quantum G_2 link invariant | We derive an inductive, combinatorial definition of a polynomial-valued
regular isotopy invariant of links and tangled graphs. We show that the
invariant equals the Reshetikhin-Turaev invariant corresponding to the
exceptional simple Lie algebra G_2. It is therefore related to G_2 in the same
way that the HOMFLY polyno... | 1991-10-07 | 2016-09-06 | [
"math.QA",
"math.GT"
] | Greg Kuperberg (U Chicago) |
alg-geom/9212004 | Automorphisms and the K\"ahler cone of certain Calabi-Yau manifolds | For the Calabi-Yau threefolds $X$ constructed by C. Schoen as fiber products
of generic rational elliptic surfaces, we show that the action of the
automorphism group of $X$ on the K\"ahler cone of $X$ has a rationally
polyhedral fundamental domain. The second author has conjectured that this
statement will hold in gene... | 1992-12-22 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Antonella Grassi and David R. Morrison |
alg-geom/9212003 | The enumeration of simultaneous higher-order contacts between plane
curves | Using the Semple bundle construction, we derive an intersection-theoretic
formula for the number of simultaneous contacts of specified orders between
members of a generic family of degree $d$ plane curves and finitely many fixed
curves. The contacts counted by the formula occur at nonsingular points of both
the members... | 1992-12-08 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Susan Jane Colley and Gary Kennedy |
alg-geom/9212002 | On the stable rationality of $X/G$ | Let $G$ be a connected, reductive algeraic group whose Dynkin diagram
contains no components of type $G_2,$ $F_4,$ $E_6,$ $E_7$ or $E_8.$ That is,
all the components are of classical type. Suppose $X$ is an affine variety, and
suppose $G$ acts freely on $X.$ Then $X$ and $X/G$ are stably birationally
equivalent. | 1992-12-04 | 2012-01-20 | [
"alg-geom",
"math.AG"
] | Amnon Neeman |
alg-geom/9212001 | Algebraic approximations of holomorphic maps from Stein domains to
projective manifolds | It is shown that every holomorphic map $f$ from a Runge domain $\Omega$ of an
affine algebraic variety $S$ into a projective algebraic manifold $X$ is a
uniform limit of Nash algebraic maps $f_\nu$ defined over an exhausting
sequence of relatively compact open sets $\Omega_\nu$ in $\Omega$. A relative
version is also g... | 1992-12-01 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Jean-Pierre Demailly, Laszlo Lempert and Bernard Shiffman |
alg-geom/9211001 | Stable pairs on curves and surfaces | We describe stability conditions for pairs consisting of a coherent sheaf and
a homomorphism to a fixed coherent sheaf on a projective variety. The
corresponding moduli spaces are constructed for pairs on curves and surfaces.
We consider two examples. The fixed sheaf is the structure sheaf or is a vector
bundle on a di... | 1992-11-09 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Daniel Huybrechts and Manfred Lehn |
alg-geom/9210009 | Elliptic Three-folds I: Ogg-Shafarevich Theory | We calculate the Tate-Shafarevich group of an elliptic three-fold
$f:X\rightarrow S$ when $X$ and $S$ are regular and $f$ is flat, relating it to
the Brauer group of $X$ and $S$. We show that given certain hypotheses on $f$,
the Tate-Shafarevich group has the interpretation of isomorphism classes of
elliptic curves ove... | 1992-10-30 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | I. Dolgachev and M. Gross |
alg-geom/9210008 | Erratum to "The Homogeneous Coordinate Ring of a Toric Variety", along
with the original paper | This submission consists of two papers: 1) an erratum that corrects an error
in the proof of Proposition 4.3 in my paper "The Homogeneous Coordinate Ring of
a Toric Variety", and 2) the original (unchanged) version of the paper,
published in 1995. The original paper introduced the homogeneous coordinate
ring of a toric... | 1992-10-22 | 2014-03-07 | [
"alg-geom",
"math.AG"
] | David A. Cox (Amherst College) |
alg-geom/9210007 | Stable pairs, linear systems and the Verlinde formula | We study the moduli problem of pairs consisting of a rank 2 vector bundle and
a nonzero section over a fixed smooth curve. The stability condition involves a
parameter; as it varies, we show that the moduli space undergoes a sequence of
flips in the sense of Mori. As applications, we prove several results about
moduli ... | 1992-10-19 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Michael Thaddeus |
alg-geom/9210006 | Reductive group actions on K\"ahler manifolds | We prove that the action of a reductive complex Lie group on a K\"ahler
manifold can be linearized in the neighbourhood of a fixed point, provided that
the restriction of the action to some compact real form of the group is
Hamiltonian with respect to the K\"ahler form. | 1992-10-14 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Eugene Lerman and Reyer Sjamaar |
alg-geom/9210005 | Degrees of Curves in Abelian Varieties | The degree of a curve $C$ in a polarized abelian variety $(X,\lambda)$ is the
integer $d=C\cdot\lambda$. When $C$ generates $X$, we find a lower bound on $d$
which depends on $n$ and the degree of the polarization $\lambda$. The smallest
possible degree is $d=n$ and is obtained only for a smooth curve in its
Jacobian w... | 1992-10-13 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Olivier Debarre |
alg-geom/9210004 | Points of Low Degree on Smooth Plane Curves | The purpose of this note is to provide some applications of Faltings' recent
proof of S. Lang's conjecture to smooth plane curves. Let $C$ be a smooth plane
curve defined by an equation of degree $d$ with integral coefficients. We show
that for $d\ge 7$, the curve $C$ has only finitely many points whose field of
defini... | 1992-10-13 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Olivier Debarre and Matthew Klassen |
alg-geom/9210003 | The simple method of distinguishing the underlying differentiable
structures of algebraic surfaces | The simplest version of the Spin-polynomial invariants of the underlying
differentiable structures of algebraic surfaces were considered and the
simplest arguments were used in order to distinguish the underlying smooth
structures of certain algebraic surfaces. | 1992-10-10 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Andrej Tyurin |
alg-geom/9210002 | Chow quotients of Grassmannian I | We introduce a certain compactification of the space of projective
configurations i.e. orbits of the group $PGL(k)$ on the space of $n$ - tuples
of points in $P^{k-1}$ in general position. This compactification differs
considerably from Mumford's geometric invariant theory quotient. It is obtained
by considering limit ... | 1992-10-07 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | M.Kapranov |
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