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12 papers · 1 filter
Persistent random walks. II. Functional Scaling Limits
Peggy Cénac, Arnaud Le Ny, Basile De Loynes +1
We give a complete and unified description -- under some stability assumptions -- of the functional scaling limits associated with some persistent random walks for which the recurr…
Cut-off method for endogeny of recursive tree processes
Victor Kleptsyn, Michele Triestino
Given a solution to a recursive distributional equation, a natural (and non-trivial) question is whether the corresponding recursive tree process is endogenous. That is, whether th…
Fundamental isomorphism theorems for quantum groups
Alexandru Chirvasitu, Souleiman Omar Hoche, Paweł Kasprzak
The lattice of subgroups of a group is the subject of numerous results revolving around the central theme of decomposing the group into "chunks" (subquotients) that can then be com…
Families of exotic affine 3-spheres
Adrien Dubouloz
We construct algebraic families of exotic affine 3-spheres, that is, smooth affine threefolds diffeomorphic to a non-degenerate smooth complex affine quadric of dimension 3 but non…
Improving the Transmittance of an Epsilon-Near-Zero based Wavefront Shaper
G. Briere, B. Cluzel, O. Demichel
Although Epsilon-Near-Zero metamaterials (ENZ) offer many unconventional ways to play with light, the optical impedance mismatch with surroundings can limit the efficiency of futur…
Optically assisted trapping with high-permittivity dielectric rings: Towards optical aerosol filtration
Rasoul Alaee, Muamer Kadic, Carsten Rockstuhl +1
Controlling the transport, trapping, and filtering of nanoparticles is important for many applications. By virtue of their weak response to gravity and their thermal motion, variou…