Results 61 to 70 of about 12,144 (227)
A lower bound for topological entropy of generic non Anosov symplectic diffeomorphisms
, 2010 We prove that a $C^1-$generic symplectic diffeomorphism is either Anosov or the topological entropy is bounded from below by the supremum over the smallest positive Lyapunov exponent of the periodic points.
Catalan, Thiago, Tahzibi, Ali
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General infinitesimal variations of the Hodge structure of ample curves in surfaces
Mathematische Nachrichten, Volume 298, Issue 7, Page 2282-2308, July 2025.Abstract Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper, we develop a general theory to study the infinitesimal version of this question in the case of ample curves.
Víctor González‐Alonso, Sara Torelli
wiley +1 more source
Discrete Dynamics in Nature and Society, 2016 We study nonautonomous stochastic sine-Gordon lattice systems with random coupled coefficients and multiplicative white noise. We first consider the existence of random attractors in a weighted space for this system and then establish the upper ...
Zhaojuan Wang, Shengfan Zhou
doaj +1 more source
Concerning Upper Semicontinuous Decompositions of Irreducible Continua [PDF]
Proceedings of the American Mathematical Society, 1971 Let K \mathcal {K} denote the class of all compact metric continua K such that there exists a monotone mapping from a compact metric irreducible continuum M onto an arc such that each point inverse is homeomorphic to K. It is shown that no connected 1-polyhedron other than an arc is an element of K
B. Fitzpatrick +2 more
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 7, July 2025.Abstract We formulate the problem of material identification as a problem of optimal control in which the deformation of the specimen is the state variable and the unknown material law is the control variable. We assume that the material obeys finite elasticity and that the deformation of the specimen is in static equilibrium with prescribed boundary ...
Sergio Conti, Michael Ortiz
wiley +1 more source
MF-traces and a Lower Bound for the Topological Free Entropy Dimension in Unital C*-algebras [PDF]
, 2011 We continue previous work on Voiculescu's topological free entropy dimension {\delta}_{top}. We introduce the notions of MF-trace, MF-ideal, and MF-nuclearity and use these concepts to obtain upper and lower bounds for {\delta}_{top}, and in many cases ...
Hadwin, Don +3 more
core
Perturbation of the diffusion and upper semicontinuity of attractors
Applied Mathematics Letters, 1999 AbstractWe obtain uniform bounds for attractors of parabolic problems with nonlinear boundary conditions with respect to perturbations in the diffusion coefficients. These bounds are the main tool to obtain continuity properties of the attractors relatively to perturbations of the diffusion coefficient.
José M. Arrieta +2 more
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Clifford representatives via the uniform algebraic rank
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract In this paper, we introduce the uniform algebraic rank of a divisor class on a finite graph. We show that it lies between Caporaso's algebraic rank and the combinatorial rank of Baker and Norine. We prove the Riemann–Roch theorem for the uniform algebraic rank, and show that both the algebraic and the uniform algebraic rank are realized on ...
Myrla Barbosa +2 more
wiley +1 more source
Upper semicontinuous decompositions of developable spaces [PDF]
Proceedings of the American Mathematical Society, 1965 Presented here are theorems concerning upper semicontinuous decompositions of developable spaces, topological in the sense that the common parts of intersecting domains (open sets) are open. Theorem 1 shows that, if the elements of such a decomposition do not have nonbicompact [I] intersections with the closures of their complements, the decomposition ...
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Hausdorff dimensions of irreducible Markov hom tree‐shifts
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract This paper features a Cramér's theorem for finite‐state Markov chains indexed by rooted d$d$‐trees, obtained via the method of types in the classical analysis of large deviations. Along with the theorem comes two applications: an almost‐sure type convergence of sample means and a formula for the Hausdorff dimension of the symbolic space ...
Jung‐Chao Ban +2 more
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