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In the second part, I will mainly focus on two semi-discrete models: Ablowitz-Ladik equation and fully discrete NLS equation. First, I will clarify the connection of these two discrete models with dis...
In these series of talks, we will focus on the study of the Iitaka conjecture, which predicts the subadditivity of Kodaira dimensions for any algebraic fiber space. In the first part, we recall some b...
Several results point to deep relations between noncommutative geometry and class eld theory ([3], [10], [20], [22]). In [3] a quantum statistical mechanical system (BC) is exhibited, with partition...
The purpose of this article is to prove that the forcing axiom for completely proper forcings is inconsistent with the Continuum Hypothesis. This answers a longstanding problem of Shelah.
ON THE DIFFERENCE BETWEEN THE EMPIRICAL HISTOGRAM AND THE NORMAL CURVE, FOR SUMS: PART II.
The work presents the second part of the second edition of its previous one published in 2000 under the same title, containing the proof (in $ZF$) of the inaccessible cardinals nonexistence, which is...
This is the second part of our mathematical survey on the equations of motion of classical absorber electrodynamics. Here we study the equations of Wheeler-Feynman (WF) electrodynamics, which describe...
In this paper we construct a combinatorial algorithm of resolution of singularities for binomial ideals, over a field of arbitrary characteristic. This algorithm is applied to any binomial ideal.This ...
We clarify the formulation problem of mechanical theorem proving in di®erential geometry and mechanics and propose two formulations. We present complete methods of mechanical theorem proving for ...

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