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
math/9405204
An Induction Principle and Pigeonhole Principles for K-Finite Sets
We establish a course-of-values induction principle for K-finite sets in intuitionistic type theory. Using this principle, we prove a pigeonhole principle conjectured by Benabou and Loiseau. We also comment on some variants of this pigeonhole principle.
1994-05-20
2008-02-03
[ "math.LO" ]
Andreas Blass
math/9405205
Seven Trees in One
Following a remark of Lawvere, we explicitly exhibit a particularly elementary bijection between the set T of finite binary trees and the set T^7 of seven-tuples of such trees. "Particularly elementary" means that the application of the bijection to a seven-tuple of trees involves case distinctions only down to a fixed...
1994-05-20
2019-08-27
[ "math.LO" ]
Andreas Blass
math/9405203
Baire Category for Monotone Sets
We study Baire category for subsets of 2^omega that are downward-closed with respect to the almost-inclusion ordering (on the power set of the natural numbers, identified with 2^omega). We show that it behaves better in this context than for general subsets of 2^omega. In the downward-closed context, the ideal of meage...
1994-05-20
2009-09-25
[ "math.LO" ]
Andreas Blass
math/9405214
Bext^2(G,T) can be nontrivial, even assuming GCH
Using the consistency of some large cardinals we produce a model of Set Theory in which the generalized continuum hypothesis holds and for some torsion-free abelian group G of cardinality aleph_{omega +1} and for some torsion group T, Bext^2(G,T) not =0 .
1994-05-15
2009-09-25
[ "math.LO", "math.RA" ]
Menachem Magidor, Saharon Shelah
math/9405215
On a theorem of Shapiro
We show that a theorem of Leonid B. Shapiro which was proved under MA, is actually independent from ZFC. We also give a direct proof of the Boolean algebra version of the theorem under MA(Cohen).
1994-05-15
2008-02-03
[ "math.LO" ]
Saka\'e Fuchino, Saharon Shelah, Lajos Soukup
math/9405201
Cardinal Invariants Associated with Hausdorff Capacities
This is a revision (and partial retraction) of my previous abstarct. Let $\lambda(X)$ denote Lebesgue measure. If $X\subseteq [0,1]$ and $r \in (0,1)$ then the $r$-Hausdorff capacity of $X$ is denoted by $H^r(X)$ and is defined to be the infimum of all $\sum_{i=0}^\infty \lambda(I_i)^r$ where $\{I_i\}_{i\in\omega}$ is ...
1994-05-12
2009-09-25
[ "math.LO" ]
Juris Stepr\=ans
math/9404206
Reverse Mathematics and Recursive Graph Theory
We examine a number of results of infinite combinatorics using the techniques of reverse mathematics. Our results are inspired by similar results in recursive combinatorics. Theorems included concern colorings of graphs and bounded graphs, Euler paths, and Hamilton paths.
1994-04-22
2008-02-03
[ "math.LO" ]
William Gasarch and Jeffry Hirst
math/9404205
Consistency Strength of the Axiom of Full Reflection at Large Cardinals
The Axiom of Full Reflection at a measurable cardinal has been conjectured to be equiconsitent with the existence of a coherent sequence of measures with a repeat point. However we prove that the Axiom of Full Reflection at a measurable cardinal is surprisingly equiconsistent just with the existence of a measurable car...
1994-04-21
2008-02-03
[ "math.LO" ]
Moti Gitik and Ji\v{r}\'i Witzany
math/9404226
Densities of ultraproducts of Boolean algebras
We answer three problems by J. D. Monk on cardinal invariants of Boolean algebras. Two of these are whether taking the algebraic density pi(A), resp. the topological density d(A), of a Boolean algebra A commutes with formation of ultraproducts; the third one compares the number of endomorphisms and of ideals of a Boole...
1994-04-15
2016-09-06
[ "math.LO", "math.GN" ]
Sabine Koppelberg, Saharon Shelah
math/9404227
Uniformization, choice functions and well orders in the class of trees
The monadic second-order theory of trees allows quantification over elements and over arbitrary subsets. We classify the class of trees with respect to the question: does a tree T have a definable choice function (by a monadic formula with parameters)? A natural dichotomy arises where the trees that fall in the first c...
1994-04-15
2009-09-25
[ "math.LO" ]
Shmuel Lifsches, Saharon Shelah
math/9404204
Blowing up the power of a singular cardinal
Suppose that kappa is a singular cardinal of cofinality omega and GCH holds. Assume that for every n<omega the set of alphas with o(alpha)>= alpha^{+n} is unbounded in kappa.Then there is a cardinal preserving extension satisfying 2^kappa=kappa^++ and GCH below kappa. By a result of W. Mitchell and the author the ass...
1994-04-10
2016-09-06
[ "math.LO" ]
Moti Gitik
math/9403219
Cardinalities of topologies with small base
Let T be the family of open subsets of a topological space (not necessarily Hausdorff or even T_0). We prove that if T has a base of cardinality <= mu, lambda <= mu < 2^lambda, lambda strong limit of cofinality aleph_0, then T has cardinality <= mu or >= 2^lambda. This is our main conclusion. First we prove it under so...
1994-03-15
2016-09-06
[ "math.LO", "math.GN" ]
Saharon Shelah
math/9403220
A combinatorial principle equivalent to the existence of non-free Whitehead groups
As a consequence of identifying the principle described in the title, we prove that for any uncountable cardinal lambda, if there is a lambda-free Whitehead group of cardinality lambda which is not free, then there are many ``nice'' Whitehead groups of cardinality lambda which are not free.
1994-03-15
2008-02-03
[ "math.LO", "math.RA" ]
Paul C. Eklof, Saharon Shelah
math/9403203
More on the cut and choose game
We improve some ancient results of Velickovic on the cut and choose (c&c) game on complete Boolean algebras. (1) If Nonempty has a winning strategy for c&c game on $B$ then $B$ is semiproper. (2) If Nonempty has a winning strategy and $B$ has $2^{\aleph _0}$ -c.c. then Nonempty has a winning strategy in the descend...
1994-03-10
2016-09-06
[ "math.LO" ]
Jind\v{r}ich Zapletal
math/9403201
A Special Class of Almost Disjoint Families
The collection of branches (maximal linearly ordered sets of nodes) of the tree ${}^{<\omega}\omega$ (ordered by inclusion) forms an almost disjoint family (of sets of nodes). This family is not maximal -- for example, any level of the tree is almost disjoint from all of the branches. How many sets must be added to the...
1994-03-10
2009-09-25
[ "math.LO" ]
Thomas E. Leathrum
math/9403202
Shooting a club with finite conditions
We study cohabitation of the poset $P_S$ shooting a club through a given stationary subset $S$ of $\omega _1$ with finite conditions with other forcings. Sample results: (1) $P_S$ "sometimes" preserves presaturatedness of $NS_{\omega _1}$ (2) $P_S=P_T$ if $S=T mod NS_{\omega _1}$ (in Boolean algebra sense) (3) Co...
1994-03-10
2016-09-06
[ "math.LO" ]
Jind\v{r}ich Zapletal
math/9402213
On Taylor's problem
We describe some (countably many) classes K^{n,e} of finite graphs and prove that if lambda^{aleph_0}= lambda then every lambda^+-chromatic graph of cardinal lambda^+ contains, for some n, e, all members of K^{n,e} as subgraphs. On the other hand, it is consistent for every regular infinite cardinal kappa that there is...
1994-02-15
2016-09-06
[ "math.LO" ]
Peter Komjath, Saharon Shelah
math/9402214
The combinatorics of combinatorial coding by a real
We lay the combinatorial foundations for [ShSt:340] by setting up and proving the essential properties of the coding apparatus for singular cardinals. We also prove another result concerning the coding apparatus for inaccessible cardinals.
1994-02-15
2016-09-06
[ "math.LO" ]
Saharon Shelah, Lee Stanley
math/9401204
On closed unbounded sets consisting of former regulars
We give the optimal conditions for the existence of a club consisting of former regular over an inaccessible and a measurable. The foricing construction based on iteration of distributive posets.
1994-01-20
2009-09-25
[ "math.LO" ]
Moti Gitik
math/9401215
Killing Luzin and Sierpinski sets
We will kill the old Luzin and Sierpinski sets in order to build a model where U(Meager) = U(Null)= aleph_1 and there are neither Luzin nor Sierpinski sets. Thus we answer a question of J. Steprans, communicated by S. Todorcevic on route from Evans to MSRI.
1994-01-15
2008-02-03
[ "math.LO" ]
Haim Judah, Saharon Shelah
math/9401212
Complete quotient Boolean algebras
For I a proper, countably complete ideal on P(X) for some set X, can the quotient Boolean algebra P(X)/I be complete? This question was raised by Sikorski in 1949. By a simple projection argument as for measurable cardinals, it can be assumed that X is an uncountable cardinal kappa, and that I is a kappa-complete ideal...
1994-01-15
2008-02-03
[ "math.LO", "math.GN" ]
Akihiro Kanamori, Saharon Shelah
math/9401216
The strength of the isomorphism property
In section 1 of this paper, we characterize the isomorphism property of nonstandard universes in terms of the realization of some second--order types in model theory. In section 2, several applications are given. One of the applications answers a question of D. Ross about infinite Loeb measure spaces
1994-01-15
2008-02-03
[ "math.LO" ]
Renling Jin, Saharon Shelah
math/9401217
Essential Kurepa trees versus essential Jech---Kunen trees
By an omega_1 --tree we mean a tree of size omega_1 and height omega_1. An omega_1 --tree is called a Kurepa tree if all its levels are countable and it has more than omega_1 branches. An omega_1 --tree is called a Jech--Kunen tree if it has kappa branches for some kappa strictly between omega_1 and 2^{omega_1}. A Kure...
1994-01-15
2016-09-06
[ "math.LO" ]
Renling Jin, Saharon Shelah
math/9401210
On the number of non-isomorphic subgraphs
Let K be the family of graphs on omega_1 without cliques or independent subsets of size omega_1 . We prove that: 1) it is consistent with CH that every G in K has 2^{omega_1} many pairwise non-isomorphic subgraphs, 2) the following proposition holds in L: (*) there is a G in K such that for each partition (A,B) of ...
1994-01-15
2009-09-25
[ "math.LO" ]
Saharon Shelah, Lajos Soukup
math/9401211
Can you feel the double jump?
Paul Erd\H{o}s and Alfred Renyi considered the evolution of the random graph G(n,p) as p ``evolved'' from 0 to 1. At p=1/n a sudden and dramatic change takes place in G. When p=c/n with c<1 the random G consists of small components, the largest of size Theta(log n). But by p=c/n with c>1 many of the components have ``c...
1994-01-15
2016-09-06
[ "math.LO", "math.CO" ]
Saharon Shelah, Joel Spencer
math/9401213
Universal theories categorical in power and kappa-generated models
We investigate a notion called uniqueness in power kappa that is akin to categoricity in power kappa, but is based on the cardinality of the generating sets of models instead of on the cardinality of their universes. The notion is quite useful for formulating categoricity-like questions regarding powers below the cardi...
1994-01-15
2016-09-06
[ "math.LO" ]
Steven Givant, Saharon Shelah
math/9401214
Random sparse unary predicates
The main result is the following Theorem: Let p=p(n) be such that p(n) in [0,1] for all n and either p(n)<< n^{-1} or for some positive integer k, n^{-1/k}<< p(n)<< n^{-1/(k+1)} or for all epsilon >0, n^{- epsilon}<< p(n) and n^{- epsilon}<< 1-p(n) or for some positive integer k, n^{-1/k}<< 1-p(n)<< n^{-1/(k+1)} or 1...
1994-01-15
2009-09-25
[ "math.LO", "math.CO" ]
Saharon Shelah, Joel Spencer
math/9401218
Decomposing Baire class 1 functions into continuous functions
Let dec be the least cardinal kappa such that every function of first Baire class can be decomposed into kappa continuous functions. Cichon, Morayne, Pawlikowski and Solecki proved that cov(Meager) <= dec <= d and asked whether these inequalities could, consistently, be strict. By cov(Meager) is meant the least number ...
1994-01-15
2016-09-06
[ "math.LO" ]
Saharon Shelah, Juris Stepr\=ans
math/9401203
What makes a space have large weight?
We formulate several conditions (two of them are necessary and sufficient) which imply that a space of small character has large weight. In section 3 we construct a ZFC example of a first countable 0-dimensional space X of size 2^omega with w(X)=2^omega and nw(X)=omega, we show that CH implies the existence of a 0-dime...
1994-01-11
2008-02-03
[ "math.LO" ]
I. Juh\'asz, Lajos Soukup, Z. Szentmikl\'ossy
math/9401202
Descriptive set theory and forcing; How to prove theorems about Borel sets the hard way
These are lecture notes from a course I gave at the University of Wisconsin during the Spring semester of 1993. Part 1 is concerned with Borel hierarchies. Section 13 contains an unpublished theorem of Fremlin concerning Borel hierarchies and MA. Section 14 and 15 contain new results concerning the lengths of Borel hie...
1994-01-06
2009-09-25
[ "math.LO" ]
Arnold Miller
math/9405218
Average kissing numbers for non-congruent sphere packings
The Koebe circle packing theorem states that every finite planar graph can be realized as the nerve of a packing of (non-congruent) circles in R^3. We investigate the average kissing number of finite packings of non-congruent spheres in R^3 as a first restriction on the possible nerves of such packings. We show that th...
1994-05-13
2016-09-06
[ "math.MG" ]
Greg Kuperberg and Oded Schramm
math/9404230
On the Busemann-Petty problem concerning central sections of centrally symmetric convex bodies
We present a method which shows that in $\Eb$ the Busemann-Petty problem, concerning central sections of centrally symmetric convex bodies, has a positive answer. Together with other results, this settles the problem in each dimension.
1994-04-01
2009-09-25
[ "math.MG" ]
Richard J. Gardner
math/9409210
Forced Lattice Vibrations -- A Videotext
We begin with a description of recent numerical and analytical results that are closely related to the results of this paper.
1994-09-27
2025-10-20
[ "math.NA", "cs.NA", "math-ph", "math.MP" ]
Percy Deift, Thomas Kriecherbauer, Stephanos Venakides
math/9412207
Automorphic $L$\snug-functions, intertwining operators, and the irreducible tempered representations of $p$\snug-adic groups
We give an expository account of the theory of intertwining operators for connected reductive $p$--adic groups, and their connection with automorphic $L$--functions. Our purpose is to illustrate the relation between harmonic analysis and arithmetic. In particular, we describe how the theory of Plancherel measures allow...
1994-12-22
2009-09-25
[ "math.NT", "math.RT" ]
David Goldberg (Purdue University and MSRI) and Freydoon Shahidi (Purdue University)
math/9412220
Mean Values of the Logarithmic Derivative of the zeta Function and the GUE Hypothesis
The GUE Hypothesis, which concerns the distribution of zeros of the Riemann zeta-function, is used to evaluate some integrals involving the logarithmic derivative of the zeta-function. Some connections are shown between the GUE Hypothesis and other conjectures.
1994-12-05
2009-09-25
[ "math.NT" ]
David W. Farmer
math/9411214
Conformal Characters and Theta Series
We describe the construction of vector valued modular forms transforming under a given congruence representation of the modular group SL$(\bold Z)$ in terms of theta series. We apply this general setup to obtain closed and easily computable formulas for conformal characters of rational models of $W$-algebras.
1994-11-11
2009-10-28
[ "math.NT" ]
Wolgang Eholzer, Nils-Peter Skoruppa
math/9411213
On Calculations of Zeros of Various L-functions
As we have shown several years ago [Y2], zeros of $L(s, \Delta )$ and $L^(2)(s, \Delta )$ can be calculated quite efficiently by a certain experimental method. Here $\Delta$ denotes the cusp form of weight 12 with respect to SL$(2, Z)$ and $L(s, \Delta )$ (resp. $L^(2)(s, \Delta )$) denotes the standard (resp. symmetri...
1994-11-09
2008-02-03
[ "math.NT" ]
Hiroyuki Yoshida
math/9411212
The Dimension of the Space of Cusp Forms of Weight One
A new upper bound is given for the dimension of the space of holomorphic cusp forms of weight one and prime level $q$: $$ \hbox{dim}\, S_1(q) << q^{11/12} \log^4{q} $$ with an absolute implied constant.
1994-11-09
2016-09-06
[ "math.NT" ]
William Duke
math/9410216
Zeta functions do not determine class numbers
We show that two number fields with the same zeta function, and even with isomorphic adele rings, do not necessarily have the same class number.
1994-10-01
2009-09-25
[ "math.NT" ]
Bart de Smit, Robert Perlis
math/9410212
Mean values of Dedekind sums
For a positive integer k and an arbitrary integer h, the Dedekind sum s(h,k) was first studied by Dedekind because of the prominent role it plays in the transformation theory of the Dedekind eta-function, which is a modular form of weight 1/2 for the full modular group SL_2(Z). There is an extensive literature about th...
1994-10-01
2016-09-06
[ "math.NT" ]
J. Brian Conrey, Eric Fransen, Robert Klein, Clayton Scott
math/9410213
An isoperimetric inequality related to Thue's equation
This paper announces the discovery of an isoperimetric inequality for the area of plane regions defined by binary forms. This result has been applied subsequently in the enumeration of solutions to the Thue inequality and, given its fundamental nature, may find application in other areas as well.
1994-10-01
2009-09-25
[ "math.NT", "math.MG" ]
Michael A. Bean
math/9407202
Automorphic forms and cubic twists of elliptic curves
This paper surveys the connection between the elliptic curve E_D: x^3 + y^3 = D and a certain metaplectic form on the cubic cover of GL(3) which has the property that its m,n^{th} Whittaker--Fourier coefficient is essentially the L--series of the curve E_{m^2n}. One may obtain information about the collective behav...
1994-07-12
2008-02-03
[ "math.NT", "math.RT" ]
Daniel Lieman
math/9407220
A report on Wiles' Cambridge lectures
In lectures at the Newton Institute in June of 1993, Andrew Wiles announced a proof of a large part of the Taniyama-Shimura Conjecture and, as a consequence, Fermat's Last Theorem. This report for nonexperts discusses the mathematics involved in Wiles' lectures, including the necessary background and the mathematical h...
1994-07-01
2016-09-06
[ "math.NT" ]
Karl Rubin and Alice Silverberg
math/9407219
Selberg's Conjectures and Artin $L$-functions
The author reviews results and conjectures of Selberg on a class of Dirichlet series functions which share properties with the Riemann zeta function, and he relates this work to the theory of Artin L-functions.
1994-07-01
2016-09-06
[ "math.NT" ]
M. Ram Murty
math/9410222
A general decomposition theory for random cascades
This announcement describes a probabilistic approach to cascades which, in addition to providing an entirely probabilistic proof of the Kahane-Peyri\`ere theorem for independent cascades, readily applies to general dependent cascades. Moreover, this unifies various seemingly disparate cascade decompositions, including ...
1994-10-01
2009-09-25
[ "math.PR" ]
Edward C. Waymire, Stanley C. Williams
math/9406214
Contraction and decoupling inequalities for multilinear forms and u-statistics
We prove decoupling inequalities for random polynomials in independent random variables with coefficients in vector space. We use various means of comparison, including rearrangement invariant norms (e.g., Orlicz and Lorentz norms), tail distributions, tightness, hypercontractivity, etc.
1994-06-07
2008-02-03
[ "math.PR", "math.FA", "math.ST", "stat.TH" ]
V. de la Pena, Stephen J. Montgomery-Smith, Jerzy Szulga
math/9406212
Concentration of Measure and Isoperimetric Inequalities in Product Spaces
The concentration of measure prenomenon roughly states that, if a set $A$ in a product $\Omega^N$ of probability spaces has measure at least one half, ``most'' of the points of $\Omega^N$ are ``close'' to $A$. We proceed to a systematic exploration of this phenomenon. The meaning of the word ``most'' is made rigorous b...
1994-06-07
2016-09-06
[ "math.PR", "math.FA" ]
Michel Talagrand
math/9412225
Spectral analysis and the Haar functional on the quantum SU(2) group
The Haar functional on the quantum $SU(2)$ group is the analogue of invariant integration on the group $SU(2)$. If restricted to a subalgebra generated by a self-adjoint element the Haar functional can be expressed as an integral with a continuous measure or with a discrete measure or by a combination of both. These re...
1994-12-12
2016-09-06
[ "math.QA", "math.CA" ]
Erik Koelink, J. Verding
math/9411232
Representation-theoretic proof of the inner product and symmetry identities for MacDonald's polynomials
This paper is a continuation of our papers [EK1, EK2]. In [EK2] we showed that for the root system A_n-1 one can obtain Macdonald's polynomials - a new interesting class of symmetric functions recently defined by I. Macdonald {M1] - as weighted traces of intertwining operators between certain finite-dimensional represe...
1994-11-30
2009-09-25
[ "math.QA", "math.CA" ]
Pavel I. Etingof, Alexander A. Kirillov Jr.
math/9411231
Addition formula for q-disk polynomials
The purpose of this paper is to present an addition formula for so-called $q$-disk polynomials, using some quantum group theory. This result is a $q$-analogue of a result which was proved around 1970 by ${\breve{\text S}}$apiro [S] and Koornwinder [Koo1,2] independently. They considered the homogeneous space $U(n)/U(n-...
1994-11-29
2016-09-06
[ "math.QA", "math.CA" ]
Paul G. A. Floris
math/9411230
A non-commutative discrete hypergroup associated with q-disk polynomials
The aim of this paper is to give an example of a non-commutative discrete hypergroup associated with $q$-disk polynomials. These are polynomials $R_{l,m}^{(\a)}$ in two non-commuting variables which are expressed through little $q$-Jacobi polynomials and that appear, for the value $\a=n-2$, as zonal spherical functions...
1994-11-29
2016-09-06
[ "math.QA", "math.CA" ]
Paul G. A. Floris
math/9411225
3F2(1) hypergeometric function and quadratic R-matrix algebra
We construct a class of representations of the quadratic $R$-matrix algebra given by the reflection equation with the spectral parameter, $$ R{\,}(u-v)\,T^{(1)}(u)\,R{\,}(u+v)\,T^{(2)}(v)= T^{(2)}(v)\,R{\,}(u+v)\,T^{(1)}(u)\,R{\,}(u-v), $$ in terms of certain ordinary difference operators. These operators turn out to a...
1994-11-16
2016-09-06
[ "math.QA", "math.CA" ]
Vadim B. Kuznetsov
math/9407214
Askey-Wilson polynomials and the quantum SU(2) group: survey and applications
Generalised matrix elements of the irreducible representations of the quantum $SU(2)$ group are defined using certain orthonormal bases of the representation space. The generalised matrix elements are relatively infinitesimal invariant with respect to Lie algebra like elements of the quantised universal enveloping alge...
1994-07-25
2016-09-06
[ "math.QA", "math.CA" ]
Erik Koelink
math/9404225
Addition formula for big q-Legendre polynomials
From Koornwinder's interpretation of big $q$-Legendre polynomials as spherical elements on the quantum $SU(2)$ group an addition formula is derived for the big $q$-Legendre polynomial. The formula involves Al-Salam--Carlitz polynomials, little $q$-Jacobi polynomials and dual $q$-Krawtchouk polynomials. For the little $...
1994-04-26
2016-09-06
[ "math.QA", "math.CA" ]
Erik Koelink
math/9403217
Discrete hypergroups associated with compact quantum Gelfand Pairs
A discrete DJS-hypergroup is constructed in connection with the linearization formula for the product of two spherical elements for a quantum Gelfand pair of two compact quantum groups. A similar construction is discussed for the case of a generalized quantum Gelfand pair, where the role of the quantum subgroup is take...
1994-03-31
2013-01-15
[ "math.QA", "math.CA" ]
Tom H. Koornwinder
math/9403218
Gauss hypergeometric function and quadratic R-matrix algebras
We consider representations of quadratic $R$-matrix algebras by means of certain first order ordinary differential operators. These operators turn out to act as parameter shifting operators on the Gauss hypergeometric function and its limit cases and on classical orthogonal polynomials. The relationship with W. Miller'...
1994-03-31
2016-09-06
[ "math.QA", "math.CA" ]
Tom H. Koornwinder, Vadim B. Kuznetsov
math/9410207
Matrix Vieta Theorem
We consider generalizations of the Vieta formula (relating the coefficients of an algebraic equation to the roots) to the case of equations whose coefficients are order-$k$ matrices. Specifically, we prove that if $X_1,\dots ,X_n$ are solutions of an algebraic matrix equation $X^n+A_1X^{n-1}+\dots +A_n=0,$ independen...
1994-10-25
2016-09-06
[ "math.RA", "math.OA" ]
Dmitry Fuchs, Albert Schwarz
math/9412206
$R$--groups and elliptic representations for similitude groups
The tempered spectrum of the similitude groups of non-degenerate symplectic, hermitian, or split orthogonal forms defined over $p$\snug-adic groups of characteristic zero is studied. The components of representations induced from discrete series of proper parabolic subgroups are classified in terms of $R$\snug-groups. ...
1994-12-20
2008-02-03
[ "math.RT", "math.NT" ]
David Goldberg (Purdue University and MSRI)
math/9410202
Explicit Formulas for the Waldspurger and Bessel Models
In this paper we will study certain models of irreducible admissible representations of the split special orthogonal group $SO(2n+1)$ over a nonarchimedean local field. If $n=1$, these models were considered by Waldspurger. If $n=2$, they were considered by Novodvorsky and Piatetski-Shapiro \cite{NP}, who called them {...
1994-10-20
2008-02-03
[ "math.RT", "math.NT" ]
Daniel Bump, Solomon Friedberg, and Masaaki Furusawa
math/9410214
The moment map for a multiplicity free action
Let $K$ be a compact connected Lie group acting unitarily on a finite-dimensional complex vector space $V$. One calls this a {\em multiplicity-free} action whenever the $K$-isotypic components of $\C[V]$ are $K$-irreducible. We have shown that this is the case if and only if the moment map $\tau:V\rightarrow\k^*$ for t...
1994-10-01
2016-09-06
[ "math.RT" ]
Chal Benson, Joe Jenkins, Ronald Lipsman, Gail Ratcliff
math/9408212
On the convergence of the zeta function for certain prehomogeneous vector spaces
Let (G,V) be an irreducible prehomogeneous vector space defined over a number field k, P in k[V] a relative invariant polynomial, and X a rational character of G such that P(gx)=X(g)P(x). Let V_k^{ss}={x \in V_k such that P(x) is not equal to 0}. For x in V_k^{ss}, let G_x be the stabilizer of x, and G_x^0 the connecte...
1994-08-15
2016-09-06
[ "math.RT" ]
Akihiko Yukie
math/9410217
Singular continuous spectrum is generic
In a variety of contexts, we prove that singular continuous spectrum is generic in the sense that for certain natural complete metric spaces of operators, those with singular spectrum are a dense $G_\delta$.
1994-10-01
2008-02-03
[ "math.SP" ]
Rafael del Rio, Svetlana Ya. Jitomirskaya, Nikolai G. Makarov, Barry Simon
mtrl-th/9412008
First-Principles Determination of Chain-Structure Instability in KNbO$_3$
A complete mapping in the Brillouin zone of the structural instability associated with the ferroelectric phase transitions of KNbO$_3$ has been obtained by first-principles calculations using an LAPW linear response approach. The wavevector dependence of the instability reveals pronounced two-dimensional character, whi...
1994-12-21
2016-09-07
[ "mtrl-th", "cond-mat.mtrl-sci" ]
Rici Yu, Henry Krakauer (College of William and Mary)
mtrl-th/9412007
Ab-initio Calculations of Energies and Self-Diffusion on Flat and Stepped Surfaces of Al and their Implications on Crystal Growth
Using density-functional theory we investigate several properties of Al(111), Al(100), Al(110), and stepped Al(111) surfaces. We report results of formation energies of surfaces, steps, adatoms, and vacancies. For the adsorption and diffusion of Al on flat regions of Al(111) surfaces we find the hcp site energetically ...
1994-12-12
2008-02-03
[ "mtrl-th", "cond-mat.mtrl-sci" ]
Roland Stumpf, Matthias Scheffler
mtrl-th/9412006
Total energy global optimizations using non orthogonal localized orbitals
An energy functional for orbital based $O(N)$ calculations is proposed, which depends on a number of non orthogonal, localized orbitals larger than the number of occupied states in the system, and on a parameter, the electronic chemical potential, determining the number of electrons. We show that the minimization of th...
1994-12-09
2016-09-07
[ "mtrl-th", "cond-mat.mtrl-sci" ]
Jeongnim Kim, Francesco Mauri and Giulia Galli
mtrl-th/9412005
Scalable Parallel Numerical Methods and Software Tools for Material Design
A new method of solution to the local spin density approximation to the electronic Schr\"{o}dinger equation is presented. The method is based on an efficient, parallel, adaptive multigrid eigenvalue solver. It is shown that adaptivity is both necessary and sufficient to accurately solve the eigenvalue problem near the ...
1994-12-08
2009-09-25
[ "mtrl-th", "cond-mat.mtrl-sci" ]
E. Bylaska (1), S. Khon (2), S. Baden (2), A. Edelman (3), R. Kawai (4), M.E.G. Ong (5), and J. H. Weare (1) ((1) Dept. Chemistry, UCSD, (2) Dept. Computer Science, UCSD, (3) Dept. Mathematics, MIT, (4) Dept. Physics, Univ. of Alabama at Birmingham, (5) Dept. Mathematics, UCSD)
mtrl-th/9412004
Theory of adsorption and desorption of H_2/Si(001)
While the small sticking coefficient for molecular hydrogen on the Si(001) surface apparently requires a large energy barrier of adsorption, no such barrier is observed in desorption experiments. We have calculated the potential-energy surface of an H_2 molecule in front of a Si(001) surface. If we relax the Si substra...
1994-12-08
2009-10-28
[ "mtrl-th", "cond-mat.mtrl-sci" ]
E. Pehlke, M. Scheffler
mtrl-th/9412003
Real Space Approach to Electronic-Structure Calculations
We have applied the Finite Element Method to the self-consistent electronic structure calculations of molecules and solids for the first time. In this approach all the calculations are performed in "real space" and the use of non-uniform mesh is made possible, thus enabling us to deal with localized systems with ease. ...
1994-12-05
2009-10-28
[ "mtrl-th", "cond-mat.mtrl-sci" ]
Eiji Tsuchida and Masaru Tsukada
mtrl-th/9412002
Commensurate and modulated magnetic phases in orthorhombic A1C60
Competing magnetically ordered structures in polymerized orthorhombic A1C60 are studied. A mean-field theory for the equilibrium phases is developed using an Ising model and a classical Heisenberg model to describe the competition between inter- and intra-chain magnetic order in the solid. In the Ising model, the limit...
1994-12-02
2009-10-28
[ "mtrl-th", "cond-mat.mtrl-sci" ]
E.J. Mele, G. V. Krishna, and S.C. Erwin
mtrl-th/9412001
Born Effective Charges of Barium Titanate: band by band decomposition and sensitivity to structural features
The Born effective charge tensors of Barium Titanate have been calculated for each of its 4 phases. Large effective charges of Ti and O, also predicted by shell model calculations and made plausible by a simplified model, reflect the partial covalent character of the chemical bond. A band by band decomposition confirms...
1994-12-02
2009-10-28
[ "mtrl-th", "cond-mat.mtrl-sci" ]
Ph. Ghosez, X. Gonze, Ph. Lambin and J.-P. Michenaud
mtrl-th/9411009
Order-N Density-Matrix Electronic-Structure Method for General Potentials
A new order-N method for calculating the electronic structure of general (non-tight-binding) potentials is presented. The method uses a combination of the ``purification''-based approaches used by Li, Nunes and Vanderbilt, and Daw, and a representation of the density matrix based on ``travelling basis orbitals''. The m...
1994-11-28
2016-09-07
[ "mtrl-th", "cond-mat.mtrl-sci" ]
A. E. Carlsson
mtrl-th/9411008
High-dimensional quantum dynamics of adsorption and desorption of H$_2$ at Cu(111)
We performed high-dimensional quantum dynamical calculations of the dissociative adsorption and associative desorption of hydrogen on Cu(111). The potential energy surface (PES) is obtained from density functional theory calculations. Two regimes of dynamics are found, at low energies sticking is determined by the mini...
1994-11-22
2009-10-28
[ "mtrl-th", "cond-mat.mtrl-sci" ]
A. Gross, B. Hammer, M. Scheffler, and W. Brenig
mtrl-th/9411007
Density-Functional-Based Determination of the CH3-CH4 Hydrogen Exchange Reaction Barrier
Due to the overbinding that is inherent in existing {\em local} approximations to the density-functional formalism, certain reaction energies have not been accessible. Since the generalized gradient approximation significantly decreases the overbinding, prospects for density-functional-based reaction dynamics are promi...
1994-11-21
2009-10-28
[ "mtrl-th", "cond-mat.mtrl-sci" ]
Mark R. Pederson
mtrl-th/9411005
Competing structural instabilities in cubic perovskites
We study the antiferrodistortive instability and its interaction with ferroelectricity in cubic perovskite compounds. Our first-principles calculations show that coexistence of both instabilities is very common. We develop a first-principles scheme to study the thermodynamics of these compounds when both instabilities ...
1994-11-17
2008-02-03
[ "mtrl-th", "cond-mat.mtrl-sci" ]
W.~Zhong and David Vanderbilt (Rutgers University)
mtrl-th/9411006
Localized Basis for Effective Lattice Hamiltonians: Lattice Wannier Functions
A systematic method is presented for constructing effective Hamiltonians for general phonon-related structural transitions. The key feature is the application of group theoretical methods to identify the subspace in which the effective Hamiltonian acts and construct for it localized basis vectors, which are the analogu...
1994-11-17
2009-10-28
[ "mtrl-th", "cond-mat.mtrl-sci" ]
K. M. Rabe and U. V. Waghmare
mtrl-th/9411004
Three-dimensional electronic instabilities in polymerized solid A1C60
The low-temperature structure of A1C60 (A=K, Rb) is an ordered array of polymerized C60 chains, with magnetic properties that suggest a non-metallic ground state. We study the paramagnetic state of this phase using first-principles electronic-structure methods, and examine the magnetic fluctuations around this state us...
1994-11-16
2008-02-03
[ "mtrl-th", "cond-mat.mtrl-sci" ]
S.C. Erwin, G.V. Krishna, and E.J. Mele
mtrl-th/9411003
Frustrated H-Induced Instability of Mo(110)
Using helium atom scattering Hulpke and L"udecke recently observed a giant phonon anomaly for the hydrogen covered W(110) and Mo(110) surfaces. An explanation which is able to account for this and other experiments is still lacking. Below we present density-functional theory calculations of the atomic and electronic st...
1994-11-14
2009-10-28
[ "mtrl-th", "cond-mat.mtrl-sci" ]
B. Kohler, P. Ruggerone, S. Wilke, M. Scheffler
mtrl-th/9411002
Reciprocal Space Analysis of Short Range Order Intensities by the Cluster Variation Method
A reciprocal space formulation of the Cluster Variation is used in order to extract effective pair interactions in alloys from experimental short-range order diffuse intensities. The method is applied to the analysis of the short range order contribution to the neutron diffuse scattering of a $Fe-19.5 {\%} Al$ single c...
1994-11-09
2009-10-28
[ "mtrl-th", "cond-mat.mtrl-sci" ]
J.M. Sanchez, V. Pierron-Bohnes, and F. Mejia-Lira
mtrl-th/9411001
Band gap and stability in the ternary intermetallic compounds NiSnM (M = Ti, Zr, Hf): A first principles study
The structural stability and electronic properties of the ternary intermetallic compounds NiSnM (M = Ti, Zr, Hf) and the closely related Heusler compounds Ni$_2$SnM are discussed using the results of ab initio pseudopotential total energy and band-structure calculations performed with a plane wave basis set using the c...
1994-10-27
2015-06-26
[ "mtrl-th", "cond-mat.mtrl-sci" ]
S. Ogut and K. M. Rabe
nucl-ex/9412004
Relative spins and excitation energies of superdeformed bands in 190Hg: Further evidence for octupole vibration
An experiment using the Eurogam Phase II gamma-ray spectrometer confirms the existence of an excited superdeformed (SD) band in 190Hg and its very unusual decay into the lowest SD band over 3-4 transitions. The energies and dipole character of the transitions linking the two SD bands have been firmly established. Compa...
1994-12-29
2009-10-28
[ "nucl-ex", "nucl-th" ]
B. Crowell, M.P. Carpenter, R.V.F. Janssens, D.J. Blumenthal, Timar, A.N. Wilson, J.F. Sharpey-Schafer, T. Nakatsukasa, I. Ahmad, A. Astier, F. Azaiez, L. du Croux, B.J.P. Gall, F. Hannachi, T.L. Khoo, A. Korichi, T. Lauritsen, A. Lopez-Martens, M. Meyer, D. Nisius, E.S. Paul, M.G. Porquet and N. Redon
nucl-ex/9412003
Charged Particle Pseudorapidity Distributions in Au+Al, Cu, Au, and U Collisions at 10.8 A$\cdot$GeV/c
We present the results of an analysis of charged particle pseudorapidity distributions in the central region in collisions of a Au projectile with Al, Cu, Au, and U targets at an incident energy of 10.8~GeV/c per nucleon. The pseudorapidity distributions are presented as a function of transverse energy produced in the ...
1994-12-23
2009-09-25
[ "nucl-ex" ]
E877 Collaboration, J.~Barrette et. al
nucl-ex/9412002
Measurement of Pion Enhancement at Low Transverse Momentum and of the Delta-Resonance Abundance in Si-Nucleus Collisions at AGS Energy
We present measurements of the pion transverse momentum (p_t) spectra in central Si-nucleus collisions in the rapidity range 2.0<y<5.0 for p_t down to and including p_t=0. The data exhibit an enhanced pion yield at low p_t compared to what is expected for a purely thermal spectral shape. This enhancement is used to det...
1994-12-23
2009-10-28
[ "nucl-ex" ]
J. Barrette, et al. ( E814 Collaboration )
nucl-ex/9412001
Dilepton production from p-p to Ca-Ca at the Bevalac
The DLS collaboration has recently completed a high statistics study of dilepton production at the Bevalac. In particular, we have measured dielectrons (e+e-) from p-p and p-d collisions to understand the basic dilepton production mechanisms in the energy range from 1.05 - 4.9 GeV. These data can be used to determine t...
1994-11-04
2014-11-18
[ "nucl-ex" ]
H.S. Matis, S. Beedoe, M. Bougteb, J. Carroll, W. Christie, W. Gong, T. Hallman, L.Heilbronn, H. Huang, P.N. Kirk, G. Krebs, G. Igo, A. Letessier-Selvon L. Madansky, F. Manso, J. Miller, C. Naudet, R.J. Porter, M. Prunet, G. Roche, L.S. Schroeder, P. Seidl, Z. F. Wang, R. Welsh, W.K. Wilson, and A. Yegneswaran ...
nucl-th/9412036
Does the excited state of the $^3$H nucleus exist?
The suggestion is made that the excited state of the $^3 H$ nucleus found out recently in the reaction $H$ ($^6 He$,$\alpha$) ({\it Pis'ma JETPh\/} {\bf 59} (1994) 301) has spin and parity $1/2^+$ and the same configuration that the ground one of $^6 He$. An amplitude of electromagnetic transition to the triton ground ...
1994-12-26
2007-05-23
[ "nucl-th", "nucl-ex" ]
A.L.Barabanov
nucl-th/9412034
Quantum interference effects in ($\vec e,e'p$) reactions
The response to longitudinally polarized electrons in coincident out-of-plane ($\vec{\mathrm e},{\mathrm e}'{\mathrm p}$) reaction is discussed to study the role of final state interactions and quantum interference between different reaction channels, i.e. between direct (quasi) elastic proton emission and baryon reson...
1994-12-23
2009-10-28
[ "nucl-th" ]
A. Bianconi and S. Boffi
nucl-th/9412035
Production of Strange Clusters and Strange Matter in Nucleus-Nucleus Collisions at the AGS
Production probabilities for strange clusters and strange matter in Au+Au collisions at AGS energy are obtained in the thermal fireball model. The only parameters of the model, the baryon chemical potential and temperature, were determined from a description of the rather complete set of hadron yields from Si+nucleus c...
1994-12-23
2009-10-28
[ "nucl-th" ]
P. Braun-Munzinger and J. Stachel
nucl-th/9412033
Color Transparency and the Vanishing Deuterium Shadow
We find that the final state interactions in the $d(e,e'np)$ amplitude depend strongly on the final momentum of the spectator nucleon. This means that color transparency effects can be studied at rather low four-momentum transfer $Q^2\geq$ 4 (GeV/c)$^2$ using un-polarized and polarized deuteron targets.
1994-12-22
2009-09-25
[ "nucl-th" ]
L.L. Frankfurt, W.R. Greenberg, G.A. Miller, M.M. Sargsyan, and M.I. Strikman
nucl-th/9412032
Determination of bound state wave functions by a genetic algorithm
We apply a stochastic method of minimizing the ground state energy in variational calculations of light nuclei using the Refined Resonating Group Model (RRGM). The method utilizes a bit representation of the width parameters to be varied. To find the best possible set of width parameters we use strategies familiar from...
1994-12-22
2008-11-26
[ "nucl-th" ]
Christian Winkler and Hartmut M. Hofmann
nucl-th/9412031
Scaling with no phase transition
The observation of scaling relations in ultra-relativistic nuclear collisions would not by itself signal that the hot matter produced in these collisions has passed through a phase transition.
1994-12-21
2007-05-23
[ "nucl-th", "hep-ph" ]
David Seibert (Physics Department, McGill University)
nucl-th/9412030
Nuclear Binding Effects in Relativistic Coulomb Sum Rules
We extend the formulation of relativistic Coulomb sum rules to account for the average effects of nuclear binding on the initial and final states of ejected nucleons. Relativistic interactions are included by using a Dirac representation adapted from a vector-scalar field theory. The scalar field reduces the effective ...
1994-12-20
2009-09-25
[ "nucl-th" ]
D.S. Koltun and T.C. Ferree (University of Rochester)
nucl-th/9412028
Possible doublet mechanism for a regular component of parity violation in neutron scattering
A nucleus with octupole deformation of the mean field reveals rotational doublets with the same angular momentum and opposite parity. Mediated by the Coriolis-type interaction, the doublet structure leads to a strong regular component in the parity violation caused by weak interaction. This can explain sign correlation...
1994-12-19
2009-08-18
[ "nucl-th" ]
V.V.Flambaum and V.G.Zelevinsky
nucl-th/9412029
Relativistic Meson Spectroscopy and In-Medium Effects
We extend our earlier model of $q\bar q$ mesons using relativistic quasipotential (QP) wave equations to include open-flavor states and running quark-gluon coupling effects. Global fits to meson spectra are achieved with rms deviations from experiment of 43-50 MeV. We examine in-medium effects through their influence o...
1994-12-19
2009-10-28
[ "nucl-th", "hep-ph" ]
Alan J. Sommerer, A. Abd El-Hady, John R. Spence, and James P. Vary
nucl-th/9412026
Eigenmodes of Decay and Discrete Fragmentation Processes
Linear rate equations are used to describe the cascading decay of an initial heavy cluster into fragments. This representation is based upon a triangular matrix of transition rates. We expand the state vector of mass multiplicities, which describes the process, into the biorthonormal basis of eigenmodes provided by the...
1994-12-16
2009-10-28
[ "nucl-th", "hep-ph" ]
B.G. Giraud, W-h. Ma and R. Peschanski
nucl-th/9412025
Radiative Neutron-Proton Capture in Effective Chiral Lagrangians
We calculate the cross-section for the thermal $n+p\rightarrow d+\gamma$ process in chiral perturbation theory to next-to-next-to-leading order using heavy-fermion formalism. The exchange current correction is found to be $(4.5\pm 0.3)~\%$ in amplitude and the chiral perturbation at one-loop order gives the cross secti...
1994-12-16
2016-08-24
[ "nucl-th", "hep-ph" ]
Tae-Sun Park, Dong-Pil Min and Mannque Rho
nucl-th/9412027
Role of Cloud Renormalization in Convolution Models for EMC and Drell-Yan Ratios
Generalizing a recent convolution model of the nucleon which explicitly conserves charge and momentum we reexamine the influence of an enhanced pion field in nuclei on EMC and Drell-Yan ratios. Due to wave function renormalization constants the effect is more than 50% smaller than predicted by the standard pion excess ...
1994-12-16
2009-09-25
[ "nucl-th" ]
M. Buballa
nucl-th/9412023
Inclusive Pion Double Charge Exchange above 0.5 GeV
A cascade model has been developed to study pion induced multichannel reactions (quasielastic, SCX, DCX, absorption and pion production) at pion energies above 0.5 GeV. Special attention has been paid to pion double charge exchange. Pion production is a determinant feature in the high energy pion nucleus reactions, and...
1994-12-15
2009-09-25
[ "nucl-th" ]
M.J. Vicente-Vacas, M.Kh. Khankhasayev and S.G. Mashnik
nucl-th/9412024
Hydrodynamic Evolution of Chirally Symmetric Nuclear Matter
The equation of state of the linear sigma model in the mean field approximation is used as input in a relativistic hydrodynamical numerical routine. Longitudinal and transverse energy distributions are calculated and compared with those obtained from the QHD-I equation of state.
1994-12-15
2007-05-23
[ "nucl-th" ]
F. Navarra and U. Ornik
nucl-th/9412022
Effects of T- and P-odd weak nucleon interaction in nuclei: renormalizations due to residual strong interaction, matrix elements between compound states and their correlations with P-violating matrix elements
Manifestations of P-,T-odd weak interaction between nucleons in nucleus are considered. Renormalization of this interaction due to residual strong interaction is studied. Mean squared matrix elements of P-,T-odd weak interaction between compound states are calculated. Correlators between P-,T-odd and P-odd, T-even weak...
1994-12-15
2008-11-26
[ "nucl-th" ]
V.V.Flambaum and O.K.Vorov
nucl-th/9412021
Pion-Nucleon Scattering and the $\pi$NN Coupling Constant in the Chiral Color Dielectric Model
We apply the chiral color dielectric model to low- and medium-energy scattering within the coupled $\pi$N and $\pi\Delta$ system. Dynamic baryon states in which quarks are confined by the scalar color-dielectric field are constructed in Fock space. Spurious motion of the center of mass is eliminated by constructing mom...
1994-12-15
2009-09-25
[ "nucl-th" ]
Dinghui Lu, Shashikant C. Phatak and Rubin H. Landau
nucl-th/9412018
Induced Parity Nonconserving Interaction and Enhancement of Two-Nucleon Parity Nonconserving Forces
Two-nucleon parity nonconserving (PNC) interaction induced by the single-particle PNC weak potential and the two-nucleon residual strong interaction is considered. An approximate analytical formula for this Induced PNC Interaction (IPNCI) between proton and neutron is derived ($Q({\bf r} {\bf \sigma}_{p} \times {\bf \s...
1994-12-14
2008-11-26
[ "nucl-th" ]
V.V.Flambaum and O.K.Vorov