Index iteration theory for closed geodesics

2002 ◽  
pp. 242-253
Author(s):  
Yiming Long
Keyword(s):  
Closed Geodesics ◽  
Iteration Theory ◽  
Index Iteration

Filling words in fundamental groups of Riemann surfaces

2013 ◽  
Vol 50 (1) ◽  
pp. 31-50
Author(s):  
C. Zhang
Keyword(s):  
Riemann Surface ◽  
Fundamental Group ◽  
Riemann Surfaces ◽  
Fundamental Groups ◽  
Closed Geodesics ◽  
New Words

The purpose of this article is to utilize some exiting words in the fundamental group of a Riemann surface to acquire new words that are represented by filling closed geodesics.

scholarly journals Iteration theory and inequalities for Kleinian groups

1989 ◽  
Vol 21 (1) ◽  
pp. 57-64 ◽  
Author(s):  
F. W. Gehring ◽  
G. J. Martin
Keyword(s):  
Kleinian Groups ◽  
Iteration Theory

scholarly journals Eri Jabotinsky, mathematician and politician: a short biography

2021 ◽  
Author(s):  
Detlef Gronau
Keyword(s):  
Complete List ◽  
Iteration Theory ◽  
Short Biography ◽  
Zionist Movement

AbstractDespite the fact that Eri Jabotinsky (1910–1969) published only few (i.e. fourteen) mathematical papers, some of them had a remarkable influence in iteration theory. But also his life was remakable. Eri was the son of the famous Zionist Revisionist leader Vladimir Ze’ev Jabotinsky. Eri Jabotinsky was active in the Zionist movement and later as parlamentarian in the Knesset. Here we give an outline of his live and a complete list of his publications.

scholarly journals A central limit theorem for random closed geodesics: Proof of the Chas–Li–Maskit conjecture

2019 ◽  
Vol 358 ◽  
pp. 106852
Author(s):  
Ilya Gekhtman ◽  
Samuel J. Taylor ◽  
Giulio Tiozzo
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Closed Geodesics

scholarly journals Angular self-intersections for closed geodesics on surfaces

2005 ◽  
Vol 134 (02) ◽  
pp. 419-426 ◽  
Author(s):  
Mark Pollicott ◽  
Richard Sharp
Keyword(s):  
Closed Geodesics

scholarly journals Closed geodesics and bounded gaps

2016 ◽  
Vol 287 (1-2) ◽  
pp. 547-554
Author(s):  
Anton Deitmar
Keyword(s):  
Closed Geodesics ◽  
Bounded Gaps

Dagger extension theorem

2011 ◽  
Vol 21 (5) ◽  
pp. 1035-1066 ◽  
Author(s):  
Z. ÉSIK ◽  
T. HAJGATÓ
Keyword(s):  
Unique Solution ◽  
Extension Theorem ◽  
Sufficient Condition ◽  
Iteration Theory ◽  
Additive Structure ◽  
Algebraic Theories ◽  
Constant Morphism

Partial iterative theories are algebraic theories such that for certain morphisms f the equation ξ = f ⋅ 〈ξ, 1p〉 has a unique solution. Iteration theories are algebraic theories satisfying a certain set of identities. We investigate some similarities between partial iterative theories and iteration theories.In our main result, we give a sufficient condition ensuring that the partially defined dagger operation of a partial iterative theory can be extended to a totally defined operation so that the resulting theory becomes an iteration theory. We show that this general extension theorem can be instantiated to prove that every Elgot iterative theory with at least one constant morphism 1 → 0 can be extended to an iteration theory. We also apply our main result to theories equipped with an additive structure.

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