scholarly journals A polynomial approach to the spectrum of Dirac–Weyl polygonal Billiards

2020 ◽  
Vol 33 (3) ◽  
pp. 035901
Author(s):  
M F C Martins Quintela ◽  
J M B Lopes dos Santos
Keyword(s):  
Polygonal Billiards

Teichmüller dynamics and unique ergodicity via currents and Hodge theory

2020 ◽  
Vol 2020 (768) ◽  
pp. 39-54
Author(s):  
Curtis T. McMullen
Keyword(s):  
Hodge Theory ◽  
Unique Ergodicity ◽  
Polygonal Billiards ◽  
Teichmuller Dynamics

AbstractWe present a cohomological proof that recurrence of suitable Teichmüller geodesics implies unique ergodicity of their terminal foliations. This approach also yields concrete estimates for periodic foliations and new results for polygonal billiards.

Diffractive corrections in the trace formula for polygonal billiards

2000 ◽  
Vol 61 (4) ◽  
pp. 3689-3711 ◽  
Author(s):  
E. Bogomolny ◽  
N. Pavloff ◽  
C. Schmit
Keyword(s):  
Trace Formula ◽  
Polygonal Billiards

scholarly journals Weakly mixing polygonal billiards

2017 ◽  
Vol 49 (1) ◽  
pp. 141-147 ◽  
Author(s):  
Alba Málaga Sabogal ◽  
Serge Troubetzkoy
Keyword(s):  
Polygonal Billiards ◽  
Weakly Mixing

SRB Measures for Polygonal Billiards with Contracting Reflection Laws

2014 ◽  
Vol 329 (2) ◽  
pp. 687-723 ◽  
Author(s):  
Gianluigi Del Magno ◽  
João Lopes Dias ◽  
Pedro Duarte ◽  
José Pedro Gaivão ◽  
Diogo Pinheiro
Keyword(s):  
Srb Measures ◽  
Polygonal Billiards

scholarly journals Eigenfunction Concentration for Polygonal Billiards

2009 ◽  
Vol 34 (5) ◽  
pp. 475-485 ◽  
Author(s):  
Andrew Hassell ◽  
Luc Hillairet ◽  
Jeremy Marzuola
Keyword(s):  
Polygonal Billiards
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