Tootfinder

Stable deformed $\mathfrak{gl}_N$ homology of torus knots
William Ballinger, Eugene Gorsky, Matthew Hogancamp, Joshua Wang
https://arxiv.org/abs/2507.00175

Stable deformed $\mathfrak{gl}_N$ homology of torus knots
We compute the $E_2$ page in the Rasmussen spectral sequence from triply graded to $\mathfrak{gl}_N$ Khovanov--Rozansky stable homology of torus knots. This confirms a weak form of the conjecture of the second author, Oblomkov, and Rasmussen. The main tool is the link-splitting deformation, or $y$-ification, of link homology; in the $y$-ified context, the relevant Rasmussen spectral sequence collapses and we explicitly compute the $y$-ified $\mathfrak{gl}_N$ stable Khovanov--Rozansky homology o…

Nuclear Physics Confronts Relativistic Collisions Of Isobars
Giuliano Giacalone, Jiangyong Jia, Vittorio Som\`a, You Zhou, Anatoli Afanasjev, Massimiliano Alvioli, Benjamin Bally, Federica Capellino, Jean-Paul Ebran, Hannah Elfner, Fernando G. Gardim, Andr\'e V. Giannini, Fr\'ed\'erique Grassi, Eduardo Grossi, Jan Hammelmann, Andreas Kirchner, Dean Lee, Matthew Luzum, Hadi Mehrabpour, Emil G. Nielsen, Govert Nijs, Tamara Nik\v{s}i\'c, Jacquelyn Noronha-Hostler, Jean-Yve…

Nuclear Physics Confronts Relativistic Collisions Of Isobars
High-energy collisions involving the $A=96$ isobars $^{96}$Zr and $^{96}$Ru have been performed in 2018 at Brookhaven National Laboratory's Relativistic Heavy Ion Collider (RHIC) as a means to search for the chiral magnetic effect in QCD. This would manifest itself as specific deviations from unity in the ratio of observables taken between $^{96}$Zr+$^{96}$Zr and $^{96}$Ru+$^{96}$Ru collisions. Measurements of such ratios (released at the end of 2021) indeed reveal deviations from unity, but th…

Shifted Composition IV: Underdamped Langevin and Numerical Discretizations with Partial Acceleration
Jason M. Altschuler, Sinho Chewi, Matthew S. Zhang
https://arxiv.org/abs/2506.23062

Shifted Composition IV: Underdamped Langevin and Numerical Discretizations with Partial Acceleration
Quantifying the convergence rate of the underdamped Langevin dynamics (ULD) is a classical topic, in large part due to the possibility for diffusive-to-ballistic speedups -- as was recently established for the continuous-time dynamics via space-time Poincare inequalities. A central challenge for analyzing ULD is that its degeneracy necessitates the development of new analysis approaches, e.g., the theory of hypocoercivity. In this paper, we give a new coupling-based framework for analyzing ULD …