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Adapting techniques of Misiurewicz, for 1 ≤ r < ∞ we give an explicit construction of Cr maps with positiveresidual entropy. We also establish the behavior of symbolic extension entropy with respect t...
In this paper we study congruences for sums of terms related to cubes of central binomial coefficients.
We give a complete calculation of the infinity flavor of Heegaard Floer homology with mod 2 coefficients for all three-manifolds and torsion Spin^c structures. The computation agrees with the conjectu...
Let R be a semisimple ring. A pair (A,C) is called pre-Koszul if A is a connected graded R-ring and C is a compatible connected graded R-coring. To a pre-Koszul pair we associate several complexes an...
In this paper we prove a number of triviality results for Einstein warped products and quasi-Einstein manifolds using different techniques and under assumptions of various nature. In particular we ob...
Let H be a group. We define the concept of an extending structure of the group H which consists of a new algebraic structure (S, *) called H-group, two actions and a generalized cocycle satisfying so...
The Rankin-Cohen bracket of two Eisenstein series provides a kernel yielding products of the periods of Hecke eigenforms at critical values. Extending this idea leads to a new type of Eisenstein seri...
In this paper we derive the exact distributions of sums, products, and ratios of two random variables when they follow the bivariate inverted beta distribution. Forms of the probability density functi...
A Note on the Trace Inequality for Products of Hermitian Matrix Power.
An integral inequality for convex functions defined on linear spaces is obtained which contains in a particular case a refinement for the first part of the celebrated Hermite-Hadamard inequality. Appl...
An inequality for convex functions defined on linear spaces is obtained which contains in a particular case a refinement for the second part of the celebrated Hermite-Hadamard inequality. Applications...
The inequalities, which Pachpatte has derived from the well known Hadamard's inequality for convex functions, are improved, obtaining new integral inequalities for products of convex functions. These ...
In this paper, a class of inequalities for products of positive numbers are generalized.
Correlation coefficient, Bessis-Moussa-Villani conjecture, Robust portfolio.
This paper studies optimization for inner products of real vectors assuming monotonicity properties for the entries in one of the vectors. Resulting inequalities have been useful recently in bounding ...

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