Results 81 to 90 of about 73,359 (215)
Avoidability of formulas with two variables
In combinatorics on words, a word $w$ over an alphabet $\Sigma$ is said to avoid a pattern $p$ over an alphabet $\Delta$ of variables if there is no factor $f$ of $w$ such that $f=h(p)$ where $h:\Delta^*\to\Sigma^*$ is a non-erasing morphism.
A Thue +7 more
core +4 more sources
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
Abstract In this paper a fixed‐point solver for mappings from a simplex into itself that is gradient‐free, global and requires d$d$ function evaluations for halving the error is presented, where d$d$ is the dimension. It is based on topological arguments and uses the constructive proof of the Mazurkewicz–Knaster–Kuratowski lemma when used as part of ...
Thilo Moshagen
wiley +1 more source
Sintagmatics vs. Combinatorics: Basic Principles of Combinatorial Linguistics
The article is devoted to syntagmatics and combinatorics that form the basis of combinatorial linguistics or science of language which studies linear relations of language units and their combinatorial potential.
M. V. Vlavatskaya
doaj
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
Plank theorems and their applications: A survey
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
Properties of Pseudo-Primitive Words and their Applications [PDF]
A pseudo-primitive word with respect to an antimorphic involution \theta is a word which cannot be written as a catenation of occurrences of a strictly shorter word t and \theta(t).
Kari, Lila +2 more
core +1 more source
Continuity properties of the lower spectral radius
The lower spectral radius, or joint spectral subradius, of a set of real $d \times d$ matrices is defined to be the smallest possible exponential growth rate of long products of matrices drawn from that set.
Bochi, Jairo, Morris, Ian D.
core +1 more source
Abstract Sunflowers, or Δ$\Delta$‐systems, are a fundamental concept in combinatorics introduced by Erdős and Rado in their paper: [J. London Math. Soc. (1) 35 (1960), 85–90]. A sunflower is a collection of sets where all pairs have the same intersection.
Anup Rao
wiley +1 more source
On a rigidity property for quadratic gauss sums
Abstract Let N$N$ be a large prime and let c>1/4$c > 1/4$. We prove that if f$f$ is a ±1$\pm 1$‐valued multiplicative function, such that the exponential sums Sf(a):=∑1⩽n
Alexander P. Mangerel
wiley +1 more source

