Explicit plethystic formulas for Macdonald -Kostka coefficients.
On the conformal types of algebraic surfaces of euclidean space.
An Imbedding of Closed RIEMANN Surfaces in EUCLIDean Space.
A Discrete Renewal Theorem with Infinite Mean.
Monotonicity of certain functionals under rearrangement
We show here that a wide class of integral inequalities concerning functions on can be obtained by purely combinatorial methods. More precisely, we obtain modulus of continuity or other high order norm estimates for functions satisfying conditions of the type where and are monotone increasing functions of . Several applications are also derived. In particular these methods are shown to yield a new condition for path continuity of general stochastic processes
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