Jon FICKENSCHER – Bufetov’s questions on Rauzy induction and self-similar interval exchange transformations

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18 mars 2016    

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$Given\; an\; interval\; exchange\; transformation\; (IET)\; and\; a\; sub-interval,\; there\; arises\; a\; natural\; visitation\; matrix\; that\; relates\; the\; induced\; IET\; to\; the\; original\; IET.\; We\; show\; that\; the\; original\; IET,\; up\; to\; topological\; conjugacy,\; may\; be\; recovered\; from\; successive\; visitation\; matrices.\; This\; answers\; a\; question\; by\; A.\; Bufetov\; and\; generalizes\; work\; by\; W.\; A.\; Veech,\; which\; considered\; the\; case\; when\; the\; matrices\; arise\; from\; Rauzy\; induction.\; The\; proof\; reduces\; to\; the\; case\; of\; self-similar\; IET’s,\; those\; in\; which\; the\; induced\; IET\; is\; equivalent\; to\; the\; original.\; We\; end\; by\; discussing\; other\; problems\; concerning\; such\; IET’s.\; [|https://web.math.princeton.edu/~jonfick/index.html]|[$

Jon FICKENSCHER – Bufetov’s questions on Rauzy induction and self-similar interval exchange transformations

Quand

18 mars 2016    

Ajouter au Calendrier

Télécharger ICS Calendrier Google iCalendar Office 365 Outlook Live

$Given\; an\; interval\; exchange\; transformation\; (IET)\; and\; a\; sub-interval,\; there\; arises\; a\; natural\; visitation\; matrix\; that\; relates\; the\; induced\; IET\; to\; the\; original\; IET.\; We\; show\; that\; the\; original\; IET,\; up\; to\; topological\; conjugacy,\; may\; be\; recovered\; from\; successive\; visitation\; matrices.\; This\; answers\; a\; question\; by\; A.\; Bufetov\; and\; generalizes\; work\; by\; W.\; A.\; Veech,\; which\; considered\; the\; case\; when\; the\; matrices\; arise\; from\; Rauzy\; induction.\; The\; proof\; reduces\; to\; the\; case\; of\; self-similar\; IET’s,\; those\; in\; which\; the\; induced\; IET\; is\; equivalent\; to\; the\; original.\; We\; end\; by\; discussing\; other\; problems\; concerning\; such\; IET’s.\; [|https://web.math.princeton.edu/~jonfick/index.html]|\; Jon\; FICKENSCHER\; [$