Results 151 to 160 of about 9,704 (289)

Repelled Point Processes With Application to Numerical Integration

Scandinavian Journal of Statistics, EarlyView.
ABSTRACT We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point process (PPP), linear statistics of more regularly spread point processes can yield unbiased estimators with faster‐decaying variance, and thus lower integration ...
Diala Hawat, Gabriel Mastrilli, Rémi Bardenet, Raphaël Lachièze‐Rey   +3 more
wiley   +1 more source

Lifts of continuous and Hölder alpha curves in the configuration space MN/SN$M^N/S_N$

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract In this paper, we study the quotient space X=MN/SN$X = M^N / S_N$ of equivalence classes of N$N$‐tuples in a metric space (M,dM)$(M, d_M)$, equipped with the metric induced by the minimal total pairing distance. Given a continuous path F:(0,1)→X$F: (0,1) \rightarrow X$, we prove that there exist continuous functions f1,⋯,fN:(0,1)→M$f_1, \dots,
Charles L. Fefferman, Achilleas Vasileios Koukas, Jiayu (Jerry) Liu, Tadael Hailemelekot Mequanent   +3 more
wiley   +1 more source

Superharmonic functions on Lipschitz domain [PDF]

Studia Mathematica, 1971
Silverstein, M. L., Wheeden, R. L.
openaire   +2 more sources

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

Complete Lipschitz classification of germs of real definable surfaces, with respect to the outer metric

, 2019
We consider the problem of Lipschitz classification of singularities of Real Surfaces definable in a polynomially bounded o-minimal structure (e.g., semialgebraic or subanalytic) with respect to the outer metric.
Birbrair, Lev
core  

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces

Journal of Graph Theory, Volume 112, Issue 4, Page 491-506, August 2026.
ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) is said to be ( X , Y )‐embeddable if any set of induced edge lengths from an embedding of G into a ...
Sean Dewar, Eleftherios Kastis, Derek Kitson, William Sims   +3 more
wiley   +1 more source

Continuous Operators from Spaces of Lipschitz Functions. [PDF]

Results Math
Bargetz C, Kąkol J, Sobota D.
europepmc   +1 more source

Safe Stabilization Using Non‐Smooth Control Lyapunov Barrier Function

International Journal of Robust and Nonlinear Control, Volume 36, Issue 11, Page 5823-5835, 25 July 2026.
ABSTRACT This paper addresses the challenge of safe stabilization, ensuring the system state reaches the origin while avoiding unsafe state regions. Existing approaches that rely on smooth Lyapunov barrier functions often fail to guarantee a feasible controller. To overcome this limitation, we introduce the non‐smooth control Lyapunov barrier function (
Jianglin Lan, Eldert van Henten, Peter Groot Koerkamp, Congcong Sun   +3 more
wiley   +1 more source

Synthesizing Interacting Model‐Based Optimal Control and Model‐Free Learning Approaches for Nonlinear Systems

International Journal of Robust and Nonlinear Control, Volume 36, Issue 10, Page 5619-5634, 10 July 2026.
ABSTRACT In this paper, we consider the optimal control problem for an unknown continuous‐time nonlinear system, and present a framework that integrates model‐based and model‐free methods to solve it. Each approach offers distinct advantages: model‐based techniques provide offline synthesis and data efficiency, while model‐free procedures excel at ...
Surabhi Athalye, Kyriakos G. Vamvoudakis, Panos J. Antsaklis   +2 more
wiley   +1 more source