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20022026
most citedEnergy-Efficient UAV-Assisted Mobile Edge Computing: Resource Allocation and Trajectory Optimization

501 citations

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10 papers · 1 filter

math.DS20221 cited

Another proof of Burguet's existence theorem for SRB measures of surface diffeomorphisms

Jérôme Buzzi, Sylvain Crovisier, Omri Sarig

Recently, Burguet proved a strong form of Viana's conjecture on physical measures, in the special case of surface diffeomorphisms. We give another proof, based on our an…

math.DS2021

Geometrical compactifications of geodesic flows and path structures

Martin Mion-Mouton

In this paper, we construct a geometrical compactification of the geodesic flow of non-compact complete hyperbolic surfaces without cusps having finitely generated fundamental…

math.DS2019

Large deviation principle for harmonic/geometric/arithmetic mean of digits in backward continued fraction expansion

Hiroki Takahasi

We establish the (level-1) large deviation principles for three kinds of means associated with the backward continued fraction expansion. We show that: for the harmonic and geometr…

math.DS20192 cited

On a system of difference equations of third order solved in closed form

Youssouf Akrour, Nouressadat Touafek, Yacine Halim

In this note we show the the system of difference equations $$y_{n+1}=\dfrac{ax_{n-2}y_{n-1}x…

math.DS20172 cited

Emergent behavior of Cucker-Smale flocking particles with time delays

Young-Pil Choi, Zhuchun Li

We analyze Cucker-Smale flocking particles with delayed coupling, where different constant delays are considered between particles. By constructing a system of dissipative differen…

math.DS20171 cited

Equilibrium states at freezing phase transition in unimodal maps with flat critical point

Hiroki Takahasi

An -unimodal map with flat critical point satisfying the Misiurewicz condition displays a freezing phase transition in positive spectrum. We analyze statistical properties o…