Results 61 to 70 of about 13,857 (195)
Machine Learning for Maximizing the Memristivity of Single and Coupled Quantum Memristors
Advanced Quantum Technologies, Volume 8, Issue 12, December 2025.Machine learning (ML) methods are proposed to characterize the memristive properties of single and coupled quantum memristors. It is shown that maximizing the memristivity leads to large values in the degree of entanglement of two quantum memristors, unveiling the close relationship between quantum correlations and memory.
Carlos Hernani‐Morales +5 more
wiley +1 more source
Isoperimetric Inequalities Made Simpler
Discrete AnalysisIsoperimetric inequalities made simpler, Discrete Analysis 2025:7, 23 pp. The famous isoperimetric inequality in the plane states that of all (sufficiently nice) shapes with a given volume, the one with the smallest boundary length is a circle.
Ronen Eldan +3 more
doaj +1 more source
Isoperimetric inequalities of the fourth order Neumann eigenvalues
Journal of Inequalities and Applications, 2020 In this paper, we obtain some isoperimetric inequalities for the first ( n − 1 ) $(n-1)$ eigenvalues of the fourth order Neumann Laplacian on bounded domains in an n-dimensional Euclidean space. Our result supports strongly the conjecture of Chasman.
Yanlin Deng, Feng Du
doaj +1 more source
Optimal mass transport and functional inequalities [PDF]
, 2017 We formulate the optimal transportation problem, first with Monge's original question and then with Kantorovich's approach. We state Brenier's theorem and qe define fully-nonlinear Monge-Ampère type of partial differential equations.
Pascual Miranda, Núria
core +1 more source
Expanderizing Higher‐Order Random Walks
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT We study a variant of the down‐up (also known as the Glauber dynamics) and up‐down walks over an n$$ n $$‐partite simplicial complex, which we call expanderized higher‐order random walks—where the sequence of updated coordinates corresponds to the sequence of vertices visited by a random walk over an auxiliary expander graph H$$ H $$. When H$$
Vedat Levi Alev, Shravas Rao
wiley +1 more source
Exact bounds for tail probabilities of martingales with bounded differences
Lietuvos Matematikos Rinkinys, 2009 We consider random walks, say Wn = {0, M1, . . ., Mn} of length n starting at 0 and based on a martingale sequence Mk = X1 + ··· + Xk with differences Xm. Assuming |Xk| \leq 1 we solve the isoperimetric problem Bn(x) = supP\{Wn visits an interval [x,∞
Dainius Dzindzalieta
doaj +1 more source
On an isoperimetric-isodiametric inequality [PDF]
Analysis & PDE, 2017 Final version to appear in Analysis & PDE.
Andrea Mondino, Emanuele Spadaro
openaire +5 more sources
A full classification of the isometries of the class of ball‐bodies
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3691-3698, December 2025.Abstract Complementing our previous results, we give a classification of all isometries (not necessarily surjective) of the metric space consisting of ball‐bodies, endowed with the Hausdorff metric. ‘Ball‐bodies’ are convex bodies which are intersections of translates of the Euclidean unit ball.
Shiri Artstein‐Avidan +2 more
wiley +1 more source
Advanced Nonlinear Studies, 2021 Through conformal map, isoperimetric inequalities are equivalent to the Hardy–Littlewood–Sobolev (HLS) inequalities involved with the Poisson-type kernel on the upper half space.
Tao Chunxia
doaj +1 more source
Fat equator effect and minimality in immersions and submersions of the sphere
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Inspired by the equatorial concentration of measure phenomenon in the sphere, a result which is deduced from the general (and intrinsic), concentration of measure in Sn(1)$\mathbb {S}^n(1)$, we describe in this paper an equatorial concentration of measure satisfied by the closed (compact without boundary), isometric and minimal immersions x:Σm→
Vicent Gimeno i Garcia, Vicente Palmer
wiley +1 more source