Results 11 to 20 of about 8,191,239 (342)
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. We show that the critical group of an irreducible abelian network acts freely and transitively on recurrent states of the network.
Bond, Benjamin, Levine, Lionel
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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
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Critical phenomena and renormalization-group theory [PDF]
Physics Reports, 2002 151 pages. Extended and updated version.
Pelissetto A, VICARI, ETTORE
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Numerical renormalization group at criticality [PDF]
Physics Letters A, 1996 5 pages, LaTeX, 5 figures available upon ...
Nishino, T., Okunishi, K., Kikuchi, M.
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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
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Web-Based Group Photovoice Through the Lens of Survivors of Critical Illness Recovery: Photovoice Qualitative Pilot Study. [PDF]
JMIR Form ResHoward AF +6 more
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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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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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Cuts and Flows of Cell Complexes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We study the vector spaces and integer lattices of cuts and flows of an arbitrary finite CW complex, and their relationships to its critical group and related invariants.
Art M. Duval +2 more
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