Results 11 to 20 of about 594 (44)

Maps on positive definite matrices preserving Bregman and Jensen divergences [PDF]

open access: yes, 2015
In this paper we determine those bijective maps of the set of all positive definite $n\times n$ complex matrices which preserve a given Bregman divergence corresponding to a differentiable convex function that satisfies certain conditions.
Molnár, Lajos   +2 more
core   +2 more sources

Cuntz semigroups of compact-type Hopf C*-algebras

open access: yes, 2017
The classical Cuntz semigroup has an important role in the study of C*-algebras, being one of the main invariants used to classify recalcitrant C*-algebras up to isomorphism.
Kucerovsky, Dan
core   +2 more sources

About the role of chaos and coarse graining in Statistical Mechanics

open access: yes, 2014
We discuss the role of ergodicity and chaos for the validity of statistical laws. In particular we explore the basic aspects of chaotic systems (with emphasis on the finite-resolution) on systems composed of a huge number of particles.Comment: Summer ...
Falasco, Gianmaria   +2 more
core   +1 more source

Wigner's theorem revisited

open access: yes, 2012
In this paper, we give the general solution of the functional equation $$\big\{\|f(x)+f(y)\|,\|f(x)-f(y)\|\big\}=\big\{\|x+y\|,\|x-y\|\big\}\qquad(x,y\in X)$$ where $f:X\to Y$ and $X,Y$ are inner product spaces. Related equations are also considered. Our
Maksa, Gyula, Páles, Zsolt
core   +1 more source

Random Geometric Graphs and Isometries of Normed Spaces [PDF]

open access: yes, 2015
Given a countable dense subset $S$ of a finite-dimensional normed space $X$, and ...
Balister, Paul   +4 more
core   +3 more sources

Macroscopic detection of the strong stochasticity threshold in Fermi-Pasta-Ulam chains of oscillators

open access: yes, 2004
The largest Lyapunov exponent of a system composed by a heavy impurity embedded in a chain of anharmonic nearest-neighbor Fermi-Pasta-Ulam oscillators is numerically computed for various values of the impurity mass $M$.
F. Cecconi   +13 more
core   +1 more source

Baire spaces and infinite games [PDF]

open access: yes, 2014
It is well known that if the nonempty player of the Banach-Mazur game has a winning strategy on a space, then that space is Baire in all powers even in the box topology.
Galvin, Fred, Scheepers, Marion
core  

Seven views on approximate convexity and the geometry of K-spaces

open access: yes, 2005
As in Hokusai's series of paintings "Thirty six views of mount Fuji" in which mount Fuji's is sometimes scarcely visible, the central topic of this paper is the geometry of $K$-spaces although in some of the seven views presented $K$-spaces are not ...
Castillo, Jesus M. F.   +2 more
core   +2 more sources

On the Mazur--Ulam theorem in fuzzy n--normed strictly convex spaces

open access: yes, 2009
In this paper, we generalize the Mazur--Ulam theorem in the fuzzy real n-normed strictly convex spaces.Comment: 7 ...
Abbaszadeh, S.   +2 more
core   +1 more source

The Life and Work of D.H. Hyers, 1913-1997 [PDF]

open access: yes, 2006
The following is a sketch of the life and work of Donald Holmes Hyers, Professor Emeritus from the University of Southern California. The theorem put forth by Hyers in 1941 concerning linear functional equations has gained a great deal of interest over ...
Singleton, Brent D.
core  

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