A New Proof of the QNEC
Sign Up to like & getrecommendations! Published in 2025 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-025-05450-y
Abstract: We give a simplified proof of the quantum null energy condition (QNEC). Our proof is based on an explicit formula for the shape derivative of the relative entropy, with respect to an entangling cut. It… read more here.
Keywords: proof qnec; proof; new proof;
A new proof of scattering theory for the 3D radial focusing energy-critical NLS with combined terms
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.11.055
Abstract: Abstract In this paper, we revisit the nonlinear Schrodinger equation i ∂ t u + Δ u = | u | 2 u − | u | 4 u in dimension three and give a… read more here.
Keywords: energy; energy critical; new proof; scattering theory ... See more keywords
Buryak–Okounkov Formula for the n-Point Function and a New Proof of the Witten Conjecture
Sign Up to like & getrecommendations! Published in 2020 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnaa024
Abstract: We identify the formulas of Buryak and Okounkov for the $n$-point functions of the intersection numbers of psi-classes on the moduli spaces of curves. This allows us to combine the earlier known results and this… read more here.
Keywords: point; new proof; witten conjecture; buryak okounkov ... See more keywords
A new proof of compactness in G(S)BD
Sign Up to like & getrecommendations! Published in 2022 at "Advances in Calculus of Variations"
DOI: 10.1515/acv-2021-0041
Abstract: Abstract We prove a compactness result in GBD {\operatorname{GBD}} which also provides a new proof of the compactness theorem in GSBD {\operatorname{GSBD}} , due to Chambolle and Crismale. Our proof is based on a Fréchet–Kolmogorov… read more here.
Keywords: proof; compactness; new proof; proof compactness ... See more keywords
A New Proof for a Result on the Inclusion Chromatic Index of Subcubic Graphs
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11010033
Abstract: Let G be a graph with a minimum degree δ of at least two. The inclusion chromatic index of G, denoted by χ⊂′(G), is the minimum number of colors needed to properly color the edges… read more here.
Keywords: chromatic index; inclusion chromatic; proof result; new proof ... See more keywords
σ-Martingales: Foundations, Properties, and a New Proof of the Ansel–Stricker Lemma
Sign Up to like & getrecommendations! Published in 2025 at "Mathematics"
DOI: 10.3390/math13040682
Abstract: σ-martingales generalize local martingales through localizing sequences of predictable sets, which are essential in stochastic analysis and financial mathematics, particularly for arbitrage-free markets and portfolio theory. In this work, we present a new approach to… read more here.
Keywords: ansel stricker; stricker lemma; new proof; proof ansel ... See more keywords