Annals of mathematics

The dissertation is written on the basis of the paper published in Annales Polonici Mathematici, the paper published in Acta Mathematica Vietnamica and the paper published in Results in Mathematics.
65p caphesuadathemtieu 02032022 14 2 Download

his study aimed at estimating carbon footprint (CF) and assessing mitigation options for selected tropical crops using excelbased models, parameterized with data collected through closedended questions questionnaires, combined with a reference trial (RT).
8p schindler 30122021 9 0 Download

Modern game theory has evolved enormously since its inception in the 1920s in the works of Borel and von Neumann. The branch of game theory known as dynamic games descended from the pioneering work on differential games by R. Isaacs, L. S. Pontryagin and his school, and from seminal papers on extensive form games by Kuhn and on stochastic games by Shapley.
699p thuymonguyen88 07052013 41 4 Download

The romance of history pertains to no human annals more strikingly than to the early settlement of Virginia. The mind of the reader at once reverts to the names of Raleigh, Smith, and Pocahontas. The traveller's memory pictures in a moment the ivymantled ruin of old Jamestown. About the year 16, the city of Jamestown, then the capital of Virginia, was by no means an unapt representation of the British metropolis; both being torn by contending factions, and alternately subjected to the sway of the Roundheads and Royalists.
85p chonguoinoiay1 02042013 43 4 Download

We prove that if f (x) = n−1 ak xk is a polynomial with no cyclotomic k=0 factors whose coeﬃcients satisfy ak ≡ 1 mod 2 for 0 ≤ k 1 + log 3 , 2n resolving a conjecture of Schinzel and Zassenhaus [21] for this class of polynomials. More generally, we solve the problems of Lehmer and Schinzel and Zassenhaus for the class of polynomials
21p noel_noel 17012013 48 5 Download

Annals of Mathematics In this paper we will solve one of the central problems in dynamical systems: Theorem 1 (Density of hyperbolicity for real polynomials). Any real polynomial can be approximated by hyperbolic real polynomials of the same degree. Here we say that a real polynomial is hyperbolic or Axiom A, if the real line is the union of a repelling hyperbolic set, the basin of hyperbolic attracting periodic points and the basin of inﬁnity.
39p noel_noel 17012013 46 4 Download

Annals of Mathematics By Curtis T. McMullen* .Annals of Mathematics, 165 (2007), 397–456 Dynamics of SL2(R) over moduli space in genus two By Curtis T. McMullen* Abstract This paper classiﬁes orbit closures and invariant measures for the natural action of SL2 (R) on ΩM2 , the bundle of holomorphic 1forms over the moduli space of Riemann surfaces of genus two. Contents 1. Introduction 2. Dynamics and Lie groups 3. Riemann surfaces and holomorphic 1forms 4. Abelian varieties with real multiplication 5. Recognizing eigenforms 6. Algebraic sums of 1forms 7. Connected sums of 1forms 8.
61p noel_noel 17012013 51 5 Download

Annals of Mathematics This is the ﬁrst in a series of papers whereby we combine the classical approach to exponential Diophantine equations (linear forms in logarithms, Thue equations, etc.) with a modular approach based on some of the ideas of the proof of Fermat’s Last Theorem. In this paper we give new improved bounds for linear forms in three logarithms. We also apply a combination of classical techniques with the modular approach to show that the only perfect powers in the Fibonacci sequence are 0, 1, 8 and 144 and the only perfect powers in the Lucas sequence are 1...
51p noel_noel 17012013 45 6 Download

Annals of Mathematics We study the motion of an incompressible perfect liquid body in vacuum. This can be thought of as a model for the motion of the ocean or a star. The free surface moves with the velocity of the liquid and the pressure vanishes on the free surface. This leads to a free boundary problem for Euler’s equations, where the regularity of the boundary enters to highest order. We prove local existence in Sobolev spaces assuming a “physical condition”, related to the fact that the pressure of a ﬂuid has to be positive. ...
87p noel_noel 17012013 62 5 Download

We introduce and study “isomonodromy” transformations of the matrix linear diﬀerence equation Y (z + 1) = A(z)Y (z) with polynomial A(z). Our main result is construction of an isomonodromy action of Zm(n+1)−1 on the space of coeﬃcients A(z) (here m is the size of matrices and n is the degree of A(z)). The (birational) action of certain rank n subgroups can be described by diﬀerence analogs of the classical Schlesinger equations, and we prove that for generic initial conditions these diﬀerence Schlesinger equations have a unique solution. ...
43p tuanloccuoi 04012013 60 6 Download

In this paper we introduce a method for partial description of the Poisson boundary for a certain class of groups acting on a segment. As an application we ﬁnd among the groups of subexponential growth those that admit nonconstant bounded harmonic functions with respect to some symmetric (inﬁnitely supported) measure µ of ﬁnite entropy H(µ). This implies that the entropy h(µ) of the corresponding random walk is (ﬁnite and) positive. As another application we exhibit certain discontinuity for the recurrence property of random walks. ...
29p tuanloccuoi 04012013 47 6 Download

Let X be a smooth quasiprojective subscheme of Pn of dimension m ≥ 0 over Fq . Then there exist homogeneous polynomials f over Fq for which the intersection of X and the hypersurface f = 0 is smooth. In fact, the set of such f has a positive density, equal to ζX (m + 1)−1 , where ζX (s) = ZX (q −s ) is the zeta function of X. An analogue for regular quasiprojective schemes over Z is proved, assuming the abc conjecture and another conjecture. 1. Introduction The classical Bertini theorems say that if a subscheme...
30p tuanloccuoi 04012013 46 6 Download

We consider a specialization of an untwisted quantum aﬃne algebra of type ADE at a nonzero complex number, which may or may not be a root of unity. The Grothendieck ring of its ﬁnite dimensional representations has two bases, simple modules and standard modules. We identify entries of the transition matrix with special values of “computable” polynomials, similar to KazhdanLusztig polynomials. At the same time we “compute” qcharacters for all simple modules. The result is based on “computations” of Betti numbers of graded/cyclic quiver varieties.
42p tuanloccuoi 04012013 48 6 Download

R´sum´ anglais e e For a hyperbolic metric on a 3dimensional manifold, the boundary of its convex core is a surface which is almost everywhere totally geodesic, but which is bent along a family of disjoint geodesics. The locus and intensity of this bending is described by a measured geodesic lamination, which is a topological object.
44p tuanloccuoi 04012013 40 5 Download

Reduction of the singularities of codimension one singular foliations in dimension three By Felipe Cano Contents 0. Introduction 1. Blowingup singular foliations 1.1. Adapted singular foliations 1.2. Permissible centers 1.3. Vertical invariants 1.4. First properties of presimple singularities 2. Global strategy 2.1. Reduction to presimple singularities. Statement 2.2. Good points. Bad points. Equireduction 2.3. Finiteness of bad points 2.4. The inﬂuency locus 2.5. The local control theorem 2.6. Destroying cycles 2.7. Global criteria of blowingup 3. Local control 3.1.
106p tuanloccuoi 04012013 53 6 Download

In this paper we treat the twovariable positive extension problem for trigonometric polynomials where the extension is required to be the reciprocal of the absolute value squared of a stable polynomial. This problem may also be interpreted as an autoregressive ﬁlter design problem for bivariate stochastic processes. We show that the existence of a solution is equivalent to solving a ﬁnite positive deﬁnite matrix completion problem where the completion is required to satisfy an additional low rank condition. ...
69p tuanloccuoi 04012013 59 7 Download

Đề tài " Extension properties of meromorphic mappings with values in nonK¨ahler complex manifolds "
Statement of the main result. Denote by Δ(r) the disk of radius r in C, Δ := Δ(1), and for 0
44p tuanloccuoi 04012013 43 6 Download

We prove an identity of Kloosterman integrals which is the fundamental lemma of a relative trace formula for the general linear group in n variables. 1. Introduction One of the simplest examples of Langlands’ principle of functoriality is the quadratic base change. Namely, let E/F be a quadratic extension of global fields and z → z the corresponding Galois conjugation. The base change associates to every automorphic representation π of GL(n, F) an automorphic representation Π of GL(n,E). If n = 1 then π is an id`ele class character and Π(z) = π(zz)....
26p tuanloccuoi 04012013 34 5 Download

We study the integral points on surfaces by means of a new method, relying on the Schmidt Subspace Theorem. This method was recently introduced in [CZ] for the case of curves, leading to a new proof of Siegel’s celebrated theorem that any aﬃne algebraic curve deﬁned over a number ﬁeld has only ﬁnitely many Sintegral points, unless it has genus zero and not more than two points at inﬁnity. Here, under certain conditions involving the intersection matrix of the divisors at inﬁnity, we shall conclude that the integral points on a surface all lie on a curve. We shall...
23p tuanloccuoi 04012013 49 5 Download

We prove that the existence of an automorphism of ﬁnite order on a Qvariety X implies the existence of algebraic linear relations between the logarithm of certain periods of X and the logarithm of special values of the Γfunction. This implies that a slight variation of results by Anderson, Colmez and Gross on the periods of CM abelian varieties is valid for a larger class of CM motives. In particular, we prove a weak form of the period conjecture of GrossDeligne [11, p. 205]1 .
29p tuanloccuoi 04012013 53 5 Download