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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-...
On the Complexity of 2D Discrete Fixed Point Problem     Complexity  2D Discrete Fixed  Point Problem       font style='font-size:12px;'> 2012/12/3
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 give a lower bound of (n(d−1)/2) on the quantum query complexity for finding a fixed point of a discrete Brouwer function over grid [n]d. Our lower bound is nearly tight, as Grover Search c...
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...
We propose a modification of the standard van der Pauw method for determining the resistivity and Hall coefficient of flat thin samples of arbitrary shape. Considering a different choice of resistance...
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...
A fixed point theorem for L^1 spaces      fixed point theorem  L^1 spaces        font style='font-size:12px;'> 2011/1/19
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...
Common fixed point theorems with integral inequality     b-metric spaces  coincidence point       font style='font-size:12px;'> 2010/9/26
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...
Fixed point theorems in dislocated quasi-metric space     dislocated quasi-metric  fixed point       font style='font-size:12px;'> 2010/9/20
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...
Some fixed point theorem in polish spaces     Fixed point  Random space, Polish spaces  Implicit relation       font style='font-size:12px;'> 2010/9/25
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.
We measure the renormalized coupling in the Twisted Polyakov loop scheme for SU(3) gauge theory coupled with $N_f=12$ fundamental fermions. To find the infrared fixed point of this theory, we focus on...

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