Results 31 to 40 of about 43,330 (108)

Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation

Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2305-2353, December 2025.
Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
wiley   +1 more source

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley   +1 more source

Fixed point theorems in locally convex spaces—the Schauder mapping method

Fixed Point Theory and Applications, 2006
In the appendix to the book by F. F. Bonsal, Lectures on Some Fixed Point Theorems of Functional Analysis (Tata Institute, Bombay, 1962) a proof by Singbal of the Schauder-Tychonoff fixed point theorem, based on a locally convex variant of Schauder ...
Cobzaş S
doaj   +2 more sources

Existence of a non‐stationary equilibrium in search‐and‐matching models: TU and NTU

Theoretical Economics, Volume 20, Issue 4, Page 1411-1460, November 2025.
This paper proves the existence of a non‐stationary equilibrium in the canonical search‐and‐matching model with heterogeneous agents. Non‐stationarity entails that the number and characteristics of unmatched agents evolve endogenously over time.
Christopher Sandmann, Nicolas Bonneton
wiley   +1 more source

Bargaining Foundations for Price Taking in Matching Markets

International Economic Review, Volume 66, Issue 4, Page 1561-1575, October 2025.
ABSTRACT Agents make noncontractible investments before bargaining over who matches with whom and their terms of trade. An agent is a price taker when her investments do not change her potential partners' payoffs. This incentivizes socially optimal investments.
Matthew Elliott, Eduard Talamàs
wiley   +1 more source

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model

Discrete Dynamics in Nature and Society, 2018
Each short-run equilibrium of the Dixit-Stiglitz-Krugman model is defined as a solution to the wage equation when the distributions of workers and farmers are given functions.
Minoru Tabata, Nobuoki Eshima
doaj   +1 more source

Graphical models for topological groups: A case study on countable Stone spaces

Bulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2311-2335, August 2025.
Abstract By analogy with the Cayley graph of a group with respect to a finite generating set or the Cayley–Abels graph of a totally disconnected, locally compact group, we detail countable connected graphs associated to Polish groups that we term Cayley–Abels–Rosendal graphs.
Beth Branman, George Domat, Hannah Hoganson, Robert Alonzo Lyman   +3 more
wiley   +1 more source

Tropical analysis: With an application to indivisible goods

Theoretical Economics, Volume 20, Issue 3, Page 815-829, July 2025.
We establish the subgradient theorem for monotone correspondences: a monotone correspondence is equal to the subdifferential of a potential if and only if it is conservative, i.e., its integral along a closed path vanishes irrespective of the selection from the correspondence along the path.
Nicholas C. Bedard, Jacob K. Goeree
wiley   +1 more source

From Nash Equilibria to Chain Recurrent Sets: An Algorithmic Solution Concept for Game Theory

Entropy, 2018
In 1950, Nash proposed a natural equilibrium solution concept for games hence called Nash equilibrium, and proved that all finite games have at least one.
Christos Papadimitriou, Georgios Piliouras   +1 more
doaj   +1 more source