Related papers: A problem of Polya

Certain excess versions of the Minkowski and H\"older inequalities are given. These new results generalize and improve the Minkowski and H\"older inequalities.

Based on the results people have obtained, we try to prove the Jacobian conjecture, but there is a gap in the proof.

The first aim is to construct generalizations of Polya type point process by applying a branching mechanism to these point processes. Conditions are given under which these point processes satisfy an integration by parts formula.…

We propose a stochastic version of the Collatz $3x + 1$ Problem.

In this paper, we improve Polyak's local convexity result for quadratic transformations. Extension and open problems are also presented.

This article presents an equivalent formulation of the implicit complementarity problem. We demonstrate that solution of the equivalent formulation is equivalent to the solution of the implicit complementarity problem. Moreover, we provide…

We prove a stability version of the Pr\'ekopa-Leindler inequality.

We prove the Aharoni Berger Conjecture

We obtain some new inequalities of Chebyshev Type.

We give a proof of a result of Bonet, Engli\v{s} and Taskinen filling in several details and correcting some flaws.

We prove the existence of one or more solutions to a singularly perturbed elliptic problema with two potential functions.

We consider a stabilization problem for a piezoelectric system. We prove an exponential stability result under some Lions geometric condition. Our method is based on an identity with multipliers that allows to show an appropriate…

Answering a question of Haugland, we show that the pooling problem with one pool and a bounded number of inputs can be solved in polynomial time by solving a polynomial number of linear programs of polynomial size. We also give an overview…

We settle in the affirmative the Graham-Sloane conjecture.

New cases of the multiplicity conjecture are considered.

An observation on Hall-Littlewood polynomials.

Our goal in the present paper is to give a new ergodic proof of a well-known Veech's result, build upon our previous works.

We collect, survey and develop methods of (one-dimensional) stochastic approximation in a framework that seems suitable to handle fairly broad generalizations of Polya urns. To show the applicability of the results we determine the limiting…

We generalize Jacod's condition and introduce a new type sufficient condition for the uniform integrability of the general stochastic exponential.

We present lifted linear relaxations of the OPF problem.