20 citations · 154 across the 28 of their papers we have counts for
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Long-range interactions, doubling measures and Tsallis entropy
Nikos Kalogeropoulos
We present a path toward determining the statistical origin of the thermodynamic limit for systems with long-range interactions. We assume throughout that the systems under conside…
Asymptotic cones and quantum gravity
Nikos Kalogeropoulos
Asymptotic cones are structures that encode how a metric space appears when seen from far away. We discuss their meaning and potential significance for quantum gravity.
Tsallis entropy and hyperbolicity
Nikos Kalogeropoulos
Some preliminary evidence suggests the conjecture that the collective behaviour of systems having long-range interactions may be described more effectively by the Tsallis rather th…
Nilpotence and the generalized uncertainty principle(s)
Nikos Kalogeropoulos
We point out that some of the proposed generalized/modified uncertainty principles originate from solvable, or nilpotent at appropriate limits, "deformations" of Lie algebras. We b…
Tsallis entropy composition and the Heisenberg group
Nikos Kalogeropoulos
We present an embedding of the Tsallis entropy into the 3-dimensional Heisenberg group, in order to understand the meaning of generalized independence as encoded in the Tsallis ent…