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In the past twenty years, there have been huge developments in the study of the Kardar-Parisi-Zhang (KPZ) universality class, which is a broad class of physical and probabilistic models including one-...
While the 3-dimensional analogue of Sperner’s problem in the plane was known to be complete in class PPAD, the complexity of 2D-SPERNER itself is not known to be PPAD-complete or not. In this paper, w...
We prove a Lefschetz formula for general simple graphs which equates the Lefschetz number L(T) of an endomorphism T with the sum of the degrees i(x) of simplices in G which are fixed by T. The degree ...
We show that recent results of Friedl-Vidussi and Chen imply that a symplectic manifold admits a fixed point free circle action if and only if it admits a symplectic circle action and we give a comple...
Abstract: We present a proof of the existence of a renormalization fixed point for Lorenz maps of the simplest non-unimodal combinatorial type ({0,1},{1,0,0}), and with a critical point of arbitrary o...
Abstract: In a number of applications, particularly in financial and actuarial mathematics, it is of interest to characterize the tail distribution of a random variable V satisfying the distributional...
Let A be a connected commutative C-algebra with derivation D,G a finite linear automorphism group of A which preserves D, and R = AG the fixed point subalgebra of A under the action of G. We show that...
Andr´es Navas asked us if there is a fixed point theorem for all isometries of L1 that preserve a given bounded set. Unlike many known cases where a geometric argument applies, there is a fundam...
Bertrand competiton has been a prominent paradigm for the empirical study of differentiated product markets for at least twenty years. Firms engaged in Bertrand competition maximize profits by choosi...
The aim of this paper is to obtain fixed point theorems for hybrid pairs of single valued and multivalued mappings satisfying a contractive condition of integral type in general settings. Several well...
In this paper we have proved fixed point theorems for continuous contraction mappings in dislocated quasi-metric space. Also we obtain a common fixed point theorem for a pairs of mappings in dislocate...
In this paper we prove fixed point result in generating Polish space (random space which is more general than the other spaces) with implicit relations.
Our main result states that every fixed-point free continuous self-map of ${\mathbb R}^{n}$ is colorable. This result can be re-formulated as follows: A continuous map $f: {\mathbb R}^{n}\to {\mathbb...
In his volume [5] on "Symmetry Breaking for Compact Lie Groups" Mike Field quotes a private communication by Jorge Ize claiming that any bifurcation problem with absolutely irreducible group action wo...
The paper is a survey of some results about Weil algebras applicable in differential geometry, especially in some classification questions on bundles of generalized velocities and contact elements. M...

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