期刊: ADVANCES IN MATHEMATICS, 2023; 415 ()
For a nonlinear operator T satisfying certain structural assumptions, our main theorem states that the following claims are equivalent: i) T is surjec......
期刊: ADVANCES IN MATHEMATICS, 2023; 415 ()
Let G be a compact, connected Lie group and T subset of G a maximal torus. Let (M, omega) be a monotone closed symplec-tic manifold equipped with a Ha......
期刊: ADVANCES IN MATHEMATICS, 2023; 415 ()
We prove a new shift-invariance property of the colored TASEP. From the shift-invariance of the colored stochastic six-vertex model (proved in Borodin......
期刊: ADVANCES IN MATHEMATICS, 2023; 415 ()
We show that the commutator subgroup of the group of unitaries connected to the identity in a simple unital C* -algebra is simple modulo its center. W......
期刊: ADVANCES IN MATHEMATICS, 2023; 415 ()
The probabilistic method is a technique for proving combina-torial existence results by means of showing that a randomly chosen object has the desired......
期刊: ADVANCES IN MATHEMATICS, 2023; 417 ()
We introduce a new approximation technique into the context of complex dynamics that allows us to construct examples of transcendental entire function......
期刊: ADVANCES IN MATHEMATICS, 2023; 417 ()
We prove a simultaneous generalization of the classical Riemann-Hurwitz and Plucker formulas, addressing the total number of inflection points of a mo......
期刊: ADVANCES IN MATHEMATICS, 2023; 418 ()
Suppose Lis a link in S3. We show that pi 1(S3 - L) admits an irreducible meridian-traceless representation in SU(2) if and only if L is not the unkno......
期刊: ADVANCES IN MATHEMATICS, 2023; 420 ()
The proof of Theorem 0.4 in Successive minima of line bundles contains an error. We give a modified statement of Theorem 0.4, which is weaker than the......
期刊: ADVANCES IN MATHEMATICS, 2023; 421 ()
This paper is part of a sequence interpreting quantities of conformal field theories K-theoretically. Here we give geometric constructions of the asso......
期刊: ADVANCES IN MATHEMATICS, 2023; 423 ()
Lipschitz k -connectivity, Euclidean isoperimetric inequalities, and coning inequalities all measure the difficulty of filling a k -dimensional cycle ......
期刊: ADVANCES IN MATHEMATICS, 2023; 426 ()
In this paper, we study the soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero back......
期刊: ADVANCES IN MATHEMATICS, 2023; 426 ()
We show that the Hilbert subspace of L2(G(F)\G(A)) generated by wave packets of Eisenstein series built from discrete series is the whole space. Toget......
期刊: ADVANCES IN MATHEMATICS, 2023; 427 ()
In this paper we obtain C2-open sets of dissipative, partially hyperbolic skew products having a unique SRB measure with full support and full basin. ......
期刊: ADVANCES IN MATHEMATICS, 2023; 429 ()
A well-known open problem asks to show that 2n + 5 is composite for almost all values of n. This was proposed by Gil Kalai as a possible Polymath proj......