Results 61 to 70 of about 865,901 (361)

Nodal sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture [PDF]

, 2016
Let $u$ be a harmonic function in the unit ball $B(0,1) \subset \mathbb{R}^n$, $n \geq 3$, such that $u(0)=0$. Nadirashvili conjectured that there exists a positive constant $c$, depending on the dimension $n$ only, such that $H^{n-1}(\{u=0 \}\cap B ...
A. Logunov
semanticscholar   +1 more source

Unifying and Strengthening Hardness for Dynamic Problems via the Online Matrix-Vector Multiplication Conjecture [PDF]

Symposium on the Theory of Computing, 2015
Consider the following Online Boolean Matrix-Vector Multiplication problem: We are given an n x n matrix M and will receive n column-vectors of size n, denoted by v1, ..., vn, one by one.
Monika Henzinger, Sebastian Krinninger, Danupon Nanongkai, Thatchaphol Saranurak   +3 more
semanticscholar   +1 more source

Four conjectures in Nonlinear Analysis

, 2017
In this chapter, I formulate four challenging conjectures in Nonlinear Analysis. More precisely: a conjecture on the Monge-Amp\`ere equation; a conjecture on an eigenvalue problem; a conjecture on a non-local problem; a conjecture on disconnectedness ...
A. Bahri, AJB Lopes-Pinto, B Ricceri, B Ricceri, B Ricceri, B Ricceri, B Ricceri, B Ricceri, D Passaseo, D Passaseo, E Zeidler, E Zeidler, E. N. Dancer, HH Schaefer, J Saint Raymond, JL Kazdan, JL Kelley, Lars Diening, N Hirano, NI Katzourakis, P Pucci, SI Pohozaev, XL Fan, XL Fan, XL Fan, Zdzisław Denkowski   +25 more
core   +1 more source

Syzygies of Prym and paracanonical curves of genus 8 [PDF]

Épijournal de Géométrie Algébrique, 2017
By analogy with Green's Conjecture on syzygies of canonical curves, the Prym-Green conjecture predicts that the resolution of a general level p paracanonical curve of genus g is natural.
Elisabetta Colombo, Gavril Farkas, Alessandro Verra, Claire Voisin   +3 more
doaj   +1 more source

The Weak Gravity Conjecture in three dimensions [PDF]

, 2016
A bstractWe study weakly coupled U(1) theories in AdS3, their associated charged BTZ solutions, and their charged spectra. We find that modular invariance of the holographic dual two-dimensional CFT and compactness of the gauge group together imply the ...
M. Montero, G. Shiu, Pablo Soler
semanticscholar   +1 more source

Note on the paper of Fu and Wong on strictly pseudoconvex domains with K\"ahler--Einstein Bergman metrics

, 2006
It is shown that the Ramadanov conjecture implies the Cheng conjecture.
C.R. Graham, C.R. Graham, I. P. Ramadanov, L. Boutet de Monvel, L. Boutet de Monvel, L. Boutet de Monvel, L. Boutet de Monvel, Q.-K. Lu, Q.-K. Lu, Ruslan G Shafikov, S. Fu, S. Yu. Nemirovskii, S. Yu. Nemirovskii, S. Yu. Nemirovskii, S. Yu. Nemirovskii, S.-Y. Cheng, Stefan Yu Nemirovski   +16 more
core   +1 more source

The Ingram conjecture [PDF]

Geometry & Topology, 2012
Oberwolfach Preprints;2010 ...
Barge, Marcy, Bruin, Henk, Štimac, Sonja   +2 more
openaire   +4 more sources

Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three [PDF]

, 2015
We prove the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three.
J. Bourgain, C. Demeter, L. Guth
semanticscholar   +1 more source

Spaces of Graphs, Boundary Groupoids and the Coarse Baum-Connes Conjecture

, 2013
We introduce a new variant of the coarse Baum-Connes conjecture designed to tackle coarsely disconnected metric spaces called the boundary coarse Baum-Connes conjecture.
Birget, Chen, Exel, Ferry, Gong, Guentner, Higson, Higson, Higson, Higson, Kellendonk, Khoshkam, König, Lawson, Lawson, Martin Finn-Sell, Nick Wright, Oyono-Oyono, Paterson, Roe, Skandalis, Tu, Tu, Wang, Willett   +24 more
core   +1 more source

Higgs inflation and scalar weak gravity conjecture

European Physical Journal C: Particles and Fields, 2022
In this article, we intend to find a specific model which can satisfy the further refining dS swampland conjecture and scalar weak gravity conjecture (SWGC) simultaneously, in particular, Higgs inflation model and its two extensions: Higgs-dilaton model ...
Yang Liu
doaj   +1 more source