$TORS torus

Latest papers

1. Crystallographic quotients of Artin braid groups and torus bundles over flat $3$-manifolds math.GT · 14 Oct · 3 hits

   …compact connected flat $3$-manifold $M$, considered up to affine equivalence, is the base of a geometric torus bundle whose total space is a compact flat manifold with fundamental group a Bieberbach subgroup of…

2. Cwikel estimates and Weyl's laws for $L\log L$ potentials on quantum tori math.OA · 14 Oct · 3 hits

   We prove an \(L\log L\)-endpoint Cwikel estimate on quantum tori $\mathbb T_\theta^d$, i.e., for every \(d\geq 1\) and \(x\in L\log L(\mathbb T_\theta^d)\),…

3. Finite Modular Hamiltonians and Their Singular Limits hep-th · 14 Oct · 1 hit

   Using the open solid torus as a finite parent, we revisit modular flow for spherical regions in conformal field theory. Its…

4. Emulating the Darcy Solution Operator by Heat-Semigroup Functional Calculus and Pointwise Products math.NA · 14 Oct · 2 hits

   …and over $L^2$ data, with parameters depending only on the coefficient bounds, the accuracy and $K$; on the torus this gives a $C^2$-type coefficient class with constants independent of the dimension. The torus…

5. Strong subadditivity of topological entropy on the torus: R\'enyi order and non-Abelian structure quant-ph · 14 Oct · 2 hits

   …subadditivity for the canonical topological R\'enyi functional at finite positive orders on an unpunctured torus in the topological quantum field theory of any finite unitary modular tensor category. Universal…

6. Almost-global convergence to twisted states in discrete Huygens rings math.DS · 14 Oct · 1 hit

   …After quotienting by the common phase, the map is a gradient step for an intrinsic potential on an $(n-1)$-torus, and the cycle spectrum gives an explicit interval of interaction strengths on which every orbit…

7. Spectral truncations of SU(2) and the spectral localizer math.OA · 14 Oct · 1 hit

   …we find $\mathrm{prop} \leq 2$ for all connected compact Lie groups, generalizing known results for the torus. We also carry out an analysis of the spectral localizer by Loring and Schulz-Baldes on…

8. Global well-posedness of the energy-critical nonlinear Schr\"odinger equation on the three-dimensional torus with additive L\'evy noise math.AP · 14 Oct · 2 hits

   …well-posedness for the defocusing energy-critical nonlinear Schr\"odinger equation on the three-dimensional torus with a class of additive L\'evy noises. For arbitrary deterministic initial data in the energy space,…