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EMBEDDINGS OF SOME CLASSICAL BANACH SPACES INTO MODULATION SPACES
Besov space modulation space Sobolev space short-time Fourier transform Triebel-Lizorkin space time-frequency analysis
2015/12/10
We give sufficient conditions for a tempered distribution to belong to certain modulation spaces by showing embeddings of some Besov-TriebelLizorkin spaces into modulation spaces. As aconsequence we h...
On the semi-classical limit for the focusing nonlinear Schrodinger equation: sensitivity to analytic properties of the initial data
focusing nonlinear Schrodinger equation semiclassical limit non-analyticity
2015/3/19
We present the results of a large number of careful numerical experiments carried out to investigate the way that the solution of the integrable focusing nonlinear Schrodinger equation with - xed ini...
D-bar and Dirac Type Operators on Classical and Quantum Domains
Dirac Operators Noncommutative Geometry
2015/1/19
I study d-bar and Dirac operators on classical and quantum domains subject to the APS boundary conditions, APS like boundary conditions, and other types of global boundary conditions. Moreover, the in...
A Functorial Map from Knots in Thickened Surfaces to Classical Knots and Generalisations of Parity
Functorial Map Thickened Surfaces Classical Knots
2010/11/24
We construct a functorial map from knots in thickened surfaces to classical knots. This method uses a natural generalisation of the notion of parity: we localise the information about non-triviality ...
We derive the representative Bernstein measure of the density of (X )− /(1− ), 0 < < 1, where X is a positive stable random variable, as a Fox-H function. Our result makes more explicit...
Free and Classical Entropy Over the Circle
Transportation inequality Free probability Random matrices
2008/7/1
Relative entropy with respect to normalized arclength on the circle is greater than or equal to the negative logarithmic energy (Voiculescu's negative free entropy) and is greater than or equal to the...
Extension of Some Classical Results on Ruin Probability to Delayed Renewal Model
delayed renewal risk model heavy-tails ruin probability
2007/12/11
Embrechts and Veraverbeke~[2] investigated the renewal risk model and gave a tail equivalence relationship of the ruin probabilities ψ(x) under the assumption that the claim size is heavy-tailed, whic...
Some Results for Classical Risk Process with Stochastic Return on Investments
ruin probability supremum distribution before ruin
2007/12/11
In this paper, we discuss the classical risk process with stochastic return on investment. We prove some properties of the ruin probability, the supremum distribution before ruin and the surplus distr...
We analyse a supersymmetric mechanical model derived from (1+1)-dimensional field theory with Yukawa interaction, assuming that all physical variables take their values in a Grassmann algebra B. Utili...
In this short survey paper, we discuss certain recent results in classical gravity. Our main attention is restricted to two topics: the positive mass conjecture and its extensions to the case with ho...