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Abelian networks III. The critical group [PDF]
Journal of Algebraic Combinatorics, 2015 The critical group of an abelian network is a finite abelian group that governs the behavior of the network on large inputs. It generalizes the sandpile group of a graph.
Bond, Benjamin, Levine, Lionel
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Numerical Renormalization Group at Criticality [PDF]
Physics Letters A, 1996 We apply a recently developed numerical renormalization group, the corner-transfer-matrix renormalization group (CTMRG), to 2D classical lattice models at their critical temperatures.
Barber +21 more
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Critical Groups of Simplicial Complexes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We generalize the theory of critical groups from graphs to simplicial complexes. Specifically, given a simplicial complex, we define a family of abelian groups in terms of combinatorial Laplacian operators, generalizing the construction of the critical ...
Art M. Duval +2 more
doaj +6 more sources
Critical Phenomena and Renormalization-Group Theory [PDF]
Physics Reports, 2002 We review results concerning the critical behavior of spin systems at equilibrium. We consider the Ising and the general O($N$)-symmetric universality classes, including the $N\to 0$ limit that describes the critical behavior of self-avoiding walks.
Pelissetto, Andrea, Vicari, Ettore
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A Remark on Critical Groups [PDF]
Journal of the Australian Mathematical Society, 1969 Problem 24 of Hanna Neumann's book [3] reads: Does there exist, for a given integer n > 0, a Cross variety that is generated by its k-generator groups and contains (k+n)-generator critical groups? In such a variety, is every critical group that needs more than k generators a factor of a k-generator critical group, or at least of the free group of ...
László Kovács
openaire +2 more sources
Web-Based Group Photovoice Through the Lens of Survivors of Critical Illness Recovery: Photovoice Qualitative Pilot Study. [PDF]
JMIR Form ResHoward AF +6 more
europepmc +2 more sources
Resonant Anisotropic (p,q)-Equations
Mathematics, 2020 We consider an anisotropic Dirichlet problem which is driven by the (p(z),q(z))-Laplacian (that is, the sum of a p(z)-Laplacian and a q(z)-Laplacian), The reaction (source) term, is a Carathéodory function which asymptotically as x±∞ can be resonant with
Leszek Gasiński +1 more
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Assessment of radiation exposure in the settlements located in Stepnogorsk area
Eurasian Journal of Physics and Functional Materials, 2021 The Stepnogorsk area Northern Kazakhstan has a long historymining activities. Mining activities have lots of environmental and health impacts. The aims of this study were to characterizing the general radiological situation of the area and evaluate ...
D. S. Ibrayeva +6 more
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Resonant problems for non-local elliptic operators with unbounded nonlinearites
Electronic Research Archive, 2023 In this paper we study the existence of nontrivial solutions of a class of asymptotically resonant problems driven by a non-local integro-differential operator with homogeneous Dirichlet boundary conditions by applying Morse theory and critical groups ...
Yutong Chen, Jiabao Su
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Nonlinear resonant problems with an indefinite potential and concave boundary condition
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We consider a nonlinear elliptic problem driven by the $p$-Laplacian plus and indefinite potential term. The reaction is $(p-1)$-linear and resonant and the boundary term is concave. The problem is nonparametric.
Nikolaos Papageorgiou, Andrea Scapellato
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