Results 11 to 20 of about 6,720,998 (191)
CRITICAL PERCOLATION OF FREE PRODUCT OF GROUPS [PDF]
In this article we study percolation on the Cayley graph of a free product of groups.The critical probability pcof a free product G1* G2* ⋯ * Gnof groups is found as a solution of an equation involving only the expected subcritical cluster size of factor groups G1, G2, …, Gn.
Benjamini I. +6 more
openaire +7 more sources
Differential posets and restriction in critical groups [PDF]
In recent work, Benkart, Klivans, and Reiner defined the critical group of a faithful representation of a finite group $G$, which is analogous to the critical group of a graph.
Agarwal, Ayush, Gaetz, Christian
core +3 more sources
Homological dimension and critical exponent of Kleinian groups [PDF]
We prove that the relative homological dimension of a Kleinian group G does not exceed 1 + the critical exponent of G. As an application of this result we show that for a geometrically finite Kleinian group G, if the topological dimension of the limit ...
Kapovich, Michael
core +4 more sources
Counting Arithmetical Structures on Paths and Cycles [PDF]
Let G be a finite, connected graph. An arithmetical structure on G is a pair of positive integer vectors d, r such that (diag (d) - A) r=0 , where A is the adjacency matrix of G.
Braun, Benjamin +8 more
core +4 more sources
Eigenvalues and critical groups of Adinkras
Adinkras are signed graphs used to study supersymmetry in physics. We provide an introduction to these objects, and study the properties of their signed adjacency and signed Laplacian matrices. These matrices each have exactly two distinct eigenvalues (of equal multiplicity), making Adinkras closely related to the notions of strongly regular graphs. We
Iga, Kevin +3 more
openaire +3 more sources
Critical Groups of Graphs with Dihedral Actions II
In this paper we consider the critical group of finite connected graphs which admit harmonic actions by the dihedral group Dn, extending earlier work by the author and Criel Merino.
Glass, Darren B.
core +3 more sources
The Fucik spectrum and critical groups [PDF]
We compute critical groups of zero for variational functionals arising from semilinear elliptic boundary value problems with jumping nonlinearities when the asymptotic limits of the nonlinearity fall in certain parts of Type (II) regions between curves of the Fucik spectrum.
Perera, Kanishka, Schechter, Martin
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Critical phenomena and renormalization-group theory [PDF]
151 pages. Extended and updated version.
Pelissetto A, VICARI, ETTORE
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Background: Critical consciousness represents an emancipatory pedagogical process whose central goal is developing the necessary skills to identify and act in the direction of changing social limitations.
Gabriela Monica Assante +2 more
doaj +1 more source
Abstract We define and investigate the property of being “exponent-critical” for a finite group. A finite group is said to be exponent-critical if its exponent is not the least common multiple of the exponents of its proper non-abelian subgroups. We explore properties of exponent-critical groups and give a characterization of such groups.
Simon R. Blackburn +3 more
openaire +2 more sources

