Stochastic matrices arising from genetic inheritance
نویسندگان
چکیده
منابع مشابه
Genetic code, hamming distance and stochastic matrices.
In this paper we use the Gray code representation of the genetic code C=00, U=10, G=11 and A=01 (C pairs with G, A pairs with U) to generate a sequence of genetic code-based matrices. In connection with these code-based matrices, we use the Hamming distance to generate a sequence of numerical matrices. We then further investigate the properties of the numerical matrices and show that they are d...
متن کاملGenetic code, attributive mappings and stochastic matrices.
In this paper we construct three primitive mappings based on three kinds of genetic attribute equivalences. We then apply the mappings and basic addition operation to the universal genetic code to generate three square matrices. We show that these square matrices are stochastic in nature. They demonstrate some fractal similarity properties and resemble the similar properties to the original sto...
متن کاملIntegral Bases for Number Fields Arising from Circulant Matrices
In this paper we compute integral bases for some algebraic number fields. Mathematics Subject Classification: 11R04, 11R09, 11S15
متن کاملGalois Groups of Polynomials Arising from Circulant Matrices
Computing the Galois group of the splitting field of a given polynomial with integer coefficients is a classical problem in modern algebra. A theorem of Van der Waerden [Wae] asserts that almost all (monic) polynomials in Z[x] have associated Galois group Sn, the symmetric group on n letters. Thus, cases where the associated Galois group is different from Sn are rare. Nevertheless, examples of ...
متن کاملFrom Random Matrices to Stochastic Operators
We propose that classical random matrix models are properly viewed as finite difference schemes for stochastic differential operators. Three particular stochastic operators commonly arise, each associated with a familiar class of local eigenvalue behavior. The stochastic Airy operator displays soft edge behavior, associated with the Airy kernel. The stochastic Bessel operator displays hard edge...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2011
ISSN: 0024-3795
DOI: 10.1016/j.laa.2010.09.042