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math.NT2005
Palindromic Prefixes and Diophantine Approximation
Stéphane Fischler
This text is devoted to simultaneous approximation to and by rational numbers with the same denominator, where is a non-quadratic real number. We focus on an exponent…
math.CO2005
Palindromic Prefixes and Episturmian Words
Stéphane Fischler
Let be an infinite word on an alphabet . We denote by the increasing sequence (assumed to be infinite) of all lengths of palindrome prefixes of . In th…