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MeDIDa
A podcast analysing all sorts of media about multiplicity and dissociative identity disorder. Books, movies, television, gaming, and beyond...
Great Australian Pods Podcast Directory: https://www.greataustralianpods.com/medida/

Crosslisted article(s) found for nlin.CD. https://arxiv.org/list/nlin.CD/new
[1/1]:
- Estimating dynamic models by matching random features
Michael Wieck-Sosa, Cosma Rohilla Shalizi
https://arxiv.org/abs/2607.21916 https://mastoxiv.page/@arXiv_statME_bot/116990930564749953
- Multiplicity of Stable Attractors in Disordered Neural Models
Raffaele Marino, Roberto Livi, Antonio Politi
https://arxiv.org/abs/2607.22047
- Norm of resonance states in quantum scattering and electromagnetic systems
Florian Lorenz, Jan M\"oseritz-Schmidt, Roland Ketzmerick
https://arxiv.org/abs/2607.22052 https://mastoxiv.page/@arXiv_quantph_bot/116990948260592474
- On the alleged chaos in periodically forced traveling-wave reductions of fractional WBBM models: ...
Kaixuan Niu
https://arxiv.org/abs/2607.22475 https://mastoxiv.page/@arXiv_csCE_bot/116990773861761327
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High-Multiplicity Bin Packing is FPT
Tomohiro Koana, Soh Kumabe
https://arxiv.org/abs/2609.16923 https://arxiv.org/pdf/2609.16923

Singularities of the Wigner Caustic and the Centre Symmetry Set of Frontal Curves in the Euclidean Plane
Micha\l{} Zwierzy\'nski
https://arxiv.org/abs/2609.14653 https://arxiv.org/pdf/2609.14653 https://arxiv.org/html/2609.14653
arXiv:2609.14653v1 Announce Type: new
Abstract: Motivated by the role of the Wigner caustic in semiclassical phase-space analysis, we extend it, together with the centre symmetry set, from regular planar curves to cooriented frontals. For an angularly regular parallel pair, the signed speed of the Wigner caustic is one half of the difference of the extended signed radii of curvature, while singular points of the finite centre symmetry set are the critical points of their projective ratio. These formulas yield criteria and explicit invariants for ordinary and higher cusps, an order-lowering relation between the two constructions, and a multiplicity-weighted extension of the classical cusp-count inequality for strictly convex ovals.
We also analyse parallel pairs containing a singular frontal which is not a front. A $5/2$-cusp produces either a $5/2$- or, at a signed-radius resonance, a $5/3$-cusp on the Wigner caustic. The opposite resonance sends the centre symmetry set to infinity. We obtain the corresponding transfer results for a $5/3$-cusp and give a projective completion which resolves vanishing denominators and simultaneous finite-order zeros of the two signed radii.
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Density Estimation on Compact Manifolds under Intrinsic Spectral Block Variation
Olga Klopp, Fedor Noskov
https://arxiv.org/abs/2608.12637 https://arxiv.org/pdf/2608.12637 https://arxiv.org/html/2608.12637
arXiv:2608.12637v1 Announce Type: new
Abstract: We introduce an intrinsic spectral sparsity model for nonparametric density estimation on compact connected Riemannian manifolds. Instead of penalizing coefficients in an arbitrarily chosen Laplace--Beltrami eigenbasis, we group each complete eigenspace and measure the Hilbert norm of its spectral component. The resulting block-variation space is basis independent and isometry invariant. We establish its structural, atomic, and nonlinear approximation properties and clarify its relation to Sobolev, Besov, and coefficientwise spectral $\ell^1$ classes. We then construct a coordinate-free block-shrinkage estimator and prove a nonasymptotic signal-dependent $L^2$-oracle inequality that adapts to the unknown set of detectable eigenspaces. Under polynomial spectral growth, the risk theory separates the number of spectral blocks from their multiplicities and exhibits two regimes: one driven by a single high-dimensional eigenspace and the other by cumulative spectral complexity. Under matching spectral-growth and nondegeneracy assumptions, corresponding minimax lower bounds show that this multiplicity dependence is intrinsic, with sharp consequences for spheres and the rotation group $SO(3)$. Finally, we develop a positive, normalized, block-penalized exponential spectral sieve for log-densities and derive likelihood oracle inequalities together with expected Kullback--Leibler, Hellinger, and $L^2$ risk bounds. The resulting framework provides a geometry-respecting theory of sparse density estimation that remains invariant under changes of eigenbasis.
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Crosslisted article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[1/2]:
- Riemann spaces associated with the Navier-Stokes equations: a survey of the geometric approach
Valerii S. Dryuma
https://arxiv.org/abs/2609.13314 https://mastoxiv.page/@arXiv_nlinSI_bot/117274006969728261
- Differential Realizability of Static Control Allocation in Multirotors: An Impossibility under No...
Antonio Franchi, Mirko Mizzoni
https://arxiv.org/abs/2609.13588 https://mastoxiv.page/@arXiv_csRO_bot/117274156987489403
- The hedgehog uniquely minimises every $p$-energy
Siran Li
https://arxiv.org/abs/2609.13979 https://mastoxiv.page/@arXiv_mathAP_bot/117274305038334418
- Parabolic defect measures for Harmonic Maps with Free Boundary
Anirban Das, Ali Hyder, Yannick Sire
https://arxiv.org/abs/2609.14050 https://mastoxiv.page/@arXiv_mathAP_bot/117274307593717475
- Weights of finite cyclic actions on definite $4$-manifolds
David Baraglia
https://arxiv.org/abs/2609.14328 https://mastoxiv.page/@arXiv_mathGT_bot/117274033362312860
- (In)stability results for the Light Ray Transform
Leonard Busch, Sebasti\'an Mu\~noz-Thon, Lauri Oksanen
https://arxiv.org/abs/2609.14387 https://mastoxiv.page/@arXiv_mathAP_bot/117274341608053045
- Sharp comparison between the perimeter and its fractional analogue in two dimensions
Rupert L. Frank, Paata Ivanisvili
https://arxiv.org/abs/2609.14513 https://mastoxiv.page/@arXiv_mathAP_bot/117274346129993394
- Odd branching obstructs multiplicity-one integral current structures
Deguang Zhong
https://arxiv.org/abs/2609.14515 https://mastoxiv.page/@arXiv_mathMG_bot/117273947394588521
- Interior gravitational perturbations to naked singularities of a scalar field
Junbin Li, Tingting Li
https://arxiv.org/abs/2609.15107 https://mastoxiv.page/@arXiv_grqc_bot/117274229147764001
- Isolated Flat Points and $C^2$-Robustness of the No Focal Points Property
Alexander Cantoral, Sergio Roma\~na
https://arxiv.org/abs/2609.15185 https://mastoxiv.page/@arXiv_mathDS_bot/117274188051576649
- The homology cobordism group is not generated by graph homology $3$-spheres
Ben Mares, Yuta Nozaki, Masaki Taniguchi
https://arxiv.org/abs/2609.15415 https://mastoxiv.page/@arXiv_mathGT_bot/117274100001782508
- Triangles minimize the Monge-Amp\`ere eigenvalue among planar bounded convex domains of a given area
Chong Gu
https://arxiv.org/abs/2609.15563 https://mastoxiv.page/@arXiv_mathAP_bot/117274422417964181
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