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Traces in symmetric monoidal categories
Traces symmetric monoidal categories Category Theory
2011/9/29
Abstract: The purpose of this expository note is to describe duality and trace in a symmetric monoidal category, along with important properties (including naturality and functoriality), and to give a...
La formule des traces pour les revetements de groupes reductifs connexes. III. Le developpement spectral fin
Le developpement spectral fin La formule des traces Representation Theory Number Theory
2011/9/2
Abstract: We pursue Arthur's invariant trace formula for certain coverings of connected reductive groups by deducing explicit formulas for its spectral side. This is based on some results in local har...
La formule des traces pour les revetements de groupes reductifs connexes. II. Analyse harmonique locale
Analyse harmonique locale Representation Theory La formule des traces
2011/8/31
Abstract: We establish some results in local harmonic analysis which are necessary for Arthur's invariant trace formula for coverings of connected reductive groups. More precisely, for local coverings...
Levinson's theorem and higher degree traces for Aharonov-Bohm operators
Aharonov-Bohm operators scattering theory wave operators index theorem
2011/2/21
We study Levinson type theorems for the family of Aharonov-Bohm models from different
perspectives. The first one is purely analytical involving the explicit calculation of the waveoperators and allo...
Stein's method and the multivariate CLT for traces of powers on the classical compact groups
random matrices compact Lie groups Haar measure traces of powers Stein’s method
2011/2/22
Let Mn be a random element of the unitary, special orthogonal, or unitary symplectic groups, distributed according to Haar measure. By a classical result of Diaconis and Shahshahani, for large matrix ...
Classification of traces and hypertraces on spaces of classical pseudodifferential operators
classical pseudodifferential operators math
2010/11/19
Let M be a closed manifold and let CL(M) be the algebra of classical pseudodifferential operators. The aim of this note is to classify trace functionals on the subspaces CL^a(M) of CL(M) of operators...
A cellular automaton (CA) is a parallel synchronous computing model, which consists in a juxtaposition of finite automata (cells) whose state evolves according to that of their neighbors. Its trace is...
On the multiresolution structure of internet traffic traces
structure internet traffic traces
2010/9/13
Internet traffic exhibits a rich autocorrelation behavior, responsible for curving the Energy/Averaging function. We show that the traffic exhibits variations of its details in many different time sca...
Traces of Maximal Ideals of Topological Algebras in Their Subalgebras
Topological algebras Gelfand-Mazur algebras locally pseudoconvex algebras galbed algebras traces of ideals in subalgebras
2010/2/26
Let K be one of the fields R or C, A a topological associative algebra over K with separately continuous multiplication, B a subalgebra of A and M a closed maximal regular left (right or two-sided) id...
Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups
Algebras Pseudo-Differential Operators Geometry of Loop Groups
2010/10/29
Using {\it weighted traces} which are linear functionals of the type $$A\to tr^Q(A):=(tr(A Q^{-z})-z^{-1} tr(A Q^{-z}))_{z=0}$$ defined on the whole algebra of (classical) pseudo-differential operato...
Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups
Algebras Pseudo-Differential Operators Geometry of Loop Groups
2010/10/29
Using {\it weighted traces} which are linear functionals of the type $$A\to tr^Q(A):=(tr(A Q^{-z})-z^{-1} tr(A Q^{-z}))_{z=0}$$ defined on the whole algebra of (classical) pseudo-differential operator...