ℕ-algebraicity of zeta functions of sofic-Dyck shifts
نویسندگان
چکیده
We prove that the multivariate zeta function of a sofic-Dyck shift is the commutative series of some visibly pushdown language. As a consequence the zeta function of a sofic-Dyck shift is the generating function of a visibly pushdown language and is thus an N-algebraic series.
منابع مشابه
Sofic-Dyck Shifts
We define the class of sofic-Dyck shifts which extends the class of Markov-Dyck shifts introduced by Inoue, Krieger and Mat-sumoto. Sofic-Dyck shifts are shifts of sequences whose finite factors form unambiguous context-free languages. We show that they correspond exactly to the class of shifts of sequences whose sets of factors are visibly pushdown languages. We give an expression of the zeta ...
متن کاملFinite-type-Dyck shift spaces
We study some basic properties of sofic-Dyck shifts and finite-type-Dyck shifts. We prove that the class of sofic-Dyck shifts is stable under proper conjugacies. We prove a Decomposition Theorem of a proper conjugacy between edge-Dyck shifts into a sequence of Dyck splittings and amalgamations.
متن کاملZeta Functions and Topological Entropy of the Markov-dyck Shifts
The Markov-Dyck shifts arise from finite directed graphs. An expression for the zeta function of a Markov-Dyck shift is given. The derivation of this expression is based on a formula in Keller (G. Keller, Circular codes, loop counting, and zeta-functions, J. Combinatorial Theory 56 (1991), pp. 75– 83). For a class of examples that includes the Fibonacci-Dyck shift the zeta functions and topolog...
متن کاملTEL-AVIV UNIVERSITY RAYMOND AND BEVERLY SACKLER FACULTY OF EXACT SCIENCES SCHOOL OF MATHEMATICAL SCIENCES Tail Invariant Measures of The Dyck-Shift and Non-Sofic Systems
Among the most familiar systems in symbolic dynamics are the subshifts of finite type, or SFT’s for short. SFT’s are relatively easy to analyze, and have many pleasant properties such as intrinsic ergodicity and unique ergodicity with respect to the tail. A larger class, which has the desirable property of being closed under factors, is that of sofic systems. This class of systems retains many ...
متن کاملA categorical invariant of flow equivalence of shifts
We prove that the Karoubi envelope of a shift — defined as the Karoubi envelope of the syntactic semigroup of the language of blocks of the shift — is, up to natural equivalence of categories, an invariant of flow equivalence. More precisely, we show that the action of the Karoubi envelope on the Krieger cover of the shift is a flow invariant. An analogous result concerning the Fischer cover of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/1501.05843 شماره
صفحات -
تاریخ انتشار 2015