Results 31 to 40 of about 2,635 (165)
Corrigendum to “On the Existence of Pure and Mixed Strategy Nash Equilibrium in Discontinuous Games”
Econometrica, Volume 90, Issue 6, Page 1-2, November 2022.
Christian Ewerhart, Philip J. Reny
wiley +1 more source
Order Quasisymmetric Functions Distinguish Rooted Trees [PDF]
Richard P. Stanley conjectured that finite trees can be distinguished by their chromatic symmetric functions. In this paper, we prove an analogous statement for posets: Finite rooted trees can be distinguished by their order quasisymmetric functions ...
Hasebe, Takahiro, Tsujie, Shuhei
core +2 more sources
An Approach to Studying Quasiconformal Mappings on Generalized Grushin Planes [PDF]
We demonstrate that the complex plane and a class of generalized Grushin planes $G_r$, where $r$ is a function satisfying specific requirements, are quasisymmetrically equivalent.
Ackermann, Colleen
core +1 more source
The Tchebyshev transforms of the first and second kind
We give an in-depth study of the Tchebyshev transforms of the first and second kind of a poset, recently discovered by Hetyei. The Tchebyshev transform (of the first kind) preserves desirable combinatorial properties, including Eulerianess (due to Hetyei)
A. Björner +28 more
core +1 more source
Chromatic quasisymmetric functions
We introduce a quasisymmetric refinement of Stanley's chromatic symmetric function. We derive refinements of both Gasharov's Schur-basis expansion of the chromatic symmetric function and Chow's expansion in Gessel's basis of fundamental quasisymmetric ...
Shareshian, John, Wachs, Michelle L.
core +1 more source
Antipode formulas for some combinatorial Hopf algebras
Motivated by work of Buch on set-valued tableaux in relation to the K-theory of the Grassmannian, Lam and Pylyavskyy studied six combinatorial Hopf algebras that can be thought of as K-theoretic analogues of the Hopf algebras of symmetric functions ...
Patrias, Rebecca
core +1 more source
Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
wiley +1 more source
Artificial Intelligence‐driven advancements in protein‐based nanoparticle design enable exceptional functionalities, overcoming traditional challenges and expanding nanomedicine applications. Nanoparticles (NPs) have become a pivotal technology in biomedical research due to their unique physicochemical properties and nanoscale size, allowing for ...
Mohammad Mahmoudi Gomari +3 more
wiley +1 more source
From symmetric fundamental expansions to Schur positivity [PDF]
We consider families of quasisymmetric functions with the property that if a symmetric function $f$ is a positive sum of functions in one of these families, then f is necessarily a positive sum of Schur functions.
Roberts, Austin
core +2 more sources
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
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

