Results 111 to 120 of about 169,932 (295)
ABSTRACT We study a random walk on the Lie algebra sl2(Fp)$$ {\mathfrak{sl}}_2\left({\mathbf{F}}_p\right) $$ where new elements are produced by randomly applying adjoint operators of two generators. Focusing on the generic case where the generators are selected at random, we analyze the limiting distribution of the random walk and the speed at which it
Urban Jezernik, Matevž Miščič
wiley +1 more source
Matrix ansatz and combinatorics of the $k$-species PASEP [PDF]
Olya Mandelshtam
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Counting Independent Sets in Percolated Graphs via the Ising Model
ABSTRACT Given a graph G$$ G $$, we form a random subgraph Gp$$ {G}_p $$ by including each edge of G$$ G $$ independently with probability p$$ p $$. We provide an asymptotic expansion of the expected number of independent sets in random subgraphs of regular bipartite graphs satisfying certain vertex‐isoperimetric properties, extending the work of ...
Anna Geisler +3 more
wiley +1 more source
A Note on the generating function of p-Bernoulli numbers
We use analytic combinatorics to give a direct proof of the closed formula for the generating function of $p$-Bernoulli numbers.Comment: 6 ...
Kuba, Markus
core
The Necessary Uniformity of Physical Probability
ABSTRACT According to contemporary consensus, physical probabilities may be “non‐uniform”: they need not correspond to a uniform measure over the space of physically possible worlds. Against consensus, I argue that only uniform probabilities connect robustly to long‐run frequencies.
Ezra Rubenstein
wiley +1 more source
Three Convolution Inequalities on the Real Line with Connections to\n Additive Combinatorics [PDF]
Richard Barnard, Stefan Steinerberger
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Modeling (∞,1)$(\infty,1)$‐categories with Segal spaces
Abstract In this paper, we construct a model structure for (∞,1)$(\infty,1)$‐categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show that it is Quillen equivalent to the models of (∞,1)$(\infty,1)$‐categories given by complete Segal spaces and Segal categories.
Lyne Moser, Joost Nuiten
wiley +1 more source
Canonical forms of oriented matroids
Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
wiley +1 more source
The dimension of well approximable numbers
Abstract In this survey article, we explore a central theme in Diophantine approximation inspired by a celebrated result of Besicovitch on the Hausdorff dimension of well approximable real numbers. We outline some of the key developments stemming from Besicovitch's result, with a focus on the mass transference principle, ubiquity and Diophantine ...
Victor Beresnevich, Sanju Velani
wiley +1 more source
In memoriam: Philippe Flajolet, the father of analytic combinatorics [PDF]
Bruno Salvy +4 more
openalex +1 more source

