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We obtain a criterion for the quasi-regularity of generalized (non-sectorial) Dirich-let forms, which extends the result of P.J. Fitzsimmons on the quasi-regularity of (sectorial) semi-Dirichlet form...
The equations of motion and the Bianchi identity of the C-field in M-theory are encoded in terms of the signature operator.
Consider distributional xed point equations of the form R D= f(Ci;Ri; 1  i  N); where f() is a possibly random real valued function, N 2 f0; 1; 2; 3; : : : g [ f1g, fCigN i=1 are real valued rando...
We formulate elasticity theory with microrotations using the framework of gauge theories, which has been developed and successfully applied in various areas of gravitation and cosmology.
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...
In this paper we construct exponentionally many non-isomorphic skew Hadamard difference sets over an elementary abelian group of order q3.
We first review the notion of a G2–manifold, defined in terms of a principal G2 (“gauge”) bundle over a 7–dimensional manifold, before discussing their relation to supergravity. In a second thread, ...
A short and almost elementary proof of the Boros–F¨uredi–B´ar´any–Pach–Gromov theorem on the multiplicity of covering by simplices in Rd is given.
Recently the second author introduced combinatorial principles that characterize supercompactness for inaccessible cardinals but can also hold true for small cardinals. We prove that the proper forcin...
In partial answer to a question posed by ArnieMiller [5] and X. Caicedo [2] we obtain sufficient conditions for an Lω1,ω theory to have an indepen-dent axiomatization. As a consequence we obtain two c...
We consider the restless multi-armed bandit (RMAB) problem with unknown dynamics. In this problem, at each time, a player chooses K out of N (N > K) arms to play. The state of each arm determines the ...
We study generalization of Kible-Slepian (K-S) expansion formula in 3 dimensions. The generalization is obtained by replacing in K-S formula Hermite polynomials by q-Hermite ones. If such replacement...
We prove a general comparison result for homotopic finite $p$-energy $C^{1}$ $p$-harmonic maps $u,v:M\to N$ between Riemannian manifolds, assuming that $M$ is $p$-parabolic and $N$ is complete and non...
In this short paper we review and extract some features of the Fredholm Alternative problem .
A resolution of the St. Petersburg paradox is presented. In contrast to the standard resolution, utility is not required. Instead, the time-average performance of the lottery is computed. The final r...

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