Quantum unique ergodicity for magnetic Laplacians on T2
Abstract. We study the symmetry groups and winding numbers of planar curves obtained as images of weighted sums of exponentials.
Multiple Borel-Cantelli lemma in dynamics and multilog law for ...We consider several enumerative problems concerning labelled trees whose vertices lie on a circle and whose edges are rectilinear and do not cross. 1. thèses d'orsay - NumdamZ/, y 2 zZ. Our main tool for producing I?triangulations is the following idealization procedure: Definition 2.11 Let T D .T;b;z/ be a branched triangulation of ... Circular RegressionIn order to prove the analogous result on Bd instead of Td?1, one can embed the set [0, 1] × Td?1 into Bd and do the same construction (extending the balls to d ... Enumeration of noncrossing trees on a circleConsider the largest red number r not exceeding z and the largest blue number b smaller than r ; then 0 < z ? b = (z ? r)+(r ? b) ? 2m, and b + 1 is red. Let t ... Quantum hyperbolic geometryThe fixed points of B. For any Blaschke product B as above, the equation z = B(z) has at most n+1 zeros in the complex plane, C. So B : C ? C has at most n+1 ... REALIZING ARBITRARY d-DIMENSIONAL DYNAMICS BY ...b(z,w,k)=?b(z + w,z,k). On a. ?c = exp k. ?1 ... which is obtained by rotating a circle of radius r around a circle of radius R>r contained. The 5th Romanian Master of Mathematics CompetitionAbstract. We consider toral extensions of hyperbolic dynamical systems. We prove that its quantitative recurrence (also with respect to given observables). Expanding maps of the circle rerevisited: positive Lyapunov ...It means that is a part of the circle of radius r centered at the point (R, 0). The equation of the circle is y2 + (x ? R)2 = r2, hence the separation ... Théorie spectrale inverse pour les opérateurs de Toeplitz 1DDoes the chain rule formula. D@f@x@tD, y@tD, z@tDD, tD. = gradf@x@tD, y@tD, z@tDD.8x¢@tD, y¢@tD, z¢@tD< work for functions of three variables? ·Answer: Try it ... skew products, quantitative recurrence, shrinking targets and decay ...O. Introduction. The Lee-Yang circle theorem [12] remains one of the very few effective tools which are at our disposal in the rigorous theory of phase. 2D and 3D Measurements VC.03 The Gradient BasicsThe fixed points of B. For any Blaschke product B as above the equation z = B(z) has at most n + 1 zeros in the complex plane ... Some remarks on the location of zeroes of the partition function for ...M Ce document compile quelques notes sur tkz-elements, la version initiale d'une bibliothèque Lua conçue pour effectuer tous les calculs ...
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