Unique Bernoulli g-measures

We improve and subsume the conditions of Johansson and \"Oberg [18] and Berbee [2] for uniqueness of a g-measure, i.e., a stationary distribution for chains with complete connections. In addition, we prove that these unique g-measures have Bernoulli natural extensions. In particular, we obtain a unique g-measure that has the Bernoulli property for the full shift on finitely many states under any one of the following additional assumptions. (1) \sum_{n=1}^\infty (\var_n \log g)^20$, \sum_{n=1}^\infty e^{-(\{1}{2}+\epsilon) (\var_1 \log g+...+\var_n \log g)}=\infty,$$(3)$$\var_n \log g=\ordo{\{1}{\sqrt{n}}}, \quad n\to \infty.$$ That the measure is Bernoulli in the case of (1) is new. In (2) we have an improved version of Berbee's condition (concerning uniqueness and Bernoullicity) [2], allowing the variations of log g to be essentially twice as large. Finally, (3) is an example that our main result is new both for uniqueness and for the Bernoulli property. We also conclude that we have convergence in the Wasserstein metric of the iterates of the adjoint transfer operator to the g-measure

Sometimes the Silence Can Be like the Thunder: Access to Pharmaceutical Data at the FDA

Those committed to the free exchange of scientific information have long complained about various restrictions on access to the FDA\u27s pharmaceutical data and the resultant restrictions on open discourse. A review of open-government procedures and litigation at the FDA demonstrates that the need for transparency at the agency extend well beyond the reach of any clinical trial registry

Partial Realization Theory and System Identification Redux

Some twenty years ago we introduced a nonstandard matrix Riccati equation to solve the partial stochastic realization problem. In this paper we provide a new derivation of this equation in the context of system identification. This allows us to show that the nonstandard matrix Riccati equation is universal in the sense that it can be used to solve more general analytic interpolation problems by only changing certain parameters. Such interpolation problems are ubiquitous in systems and control. In this context we also discuss a question posed by R.E. Kalman in beginning of the 1970s

Dark memories in the provincial words of Ingmar Bergman's Fanny and Alexander and Federico Fellini's Amarcord

Dark memories in the provincial words of Ingmar Bergman's Fanny and Alexander and Federico Fellini's AmarcordThis article about Federico Fellini’s Amarcord (1973) and Ingmar Bergman’s Fanny and Alexander (1982) concerns one aspect of the directors’ childhood memories, namely how authoritarian institutions are used to disrupt otherwise fairly idyllic and nostalgic lives and worlds. The films blend detailed memories with playful fantasies, combine experiences of the directors’ alter egos, Titta and Alexander, with rituals of family and larger communities in the provincial cities of Rimini and Uppsala. In each film, bitter memories are given a central role. This article explores the similarities of these bitter memories, as they are imagined in the mature auteurs’ last exceptionally successful films

On the uniform equidistribution of closed horospheres in hyperbolic manifolds

We prove asymptotic equidistribution results for pieces of large closed horospheres in cofinite hyperbolic manifolds of arbitrary dimension. This extends earlier results by Hejhal and Str\"ombergsson in dimension 2. Our proofs use spectral methods, and lead to precise estimates on the rate of convergence to equidistribution.Comment: 58 page

A study of time-dependent CP-violating asymmetries in B0 --> J/psi K0S and B0 --> psi(2S) K0S decays

BABAR has studied the time dependent asymmetries in the the decays B0 -> J/psi K0S and B0 -> psi(2S) K0S in a data set of 9.0 fb^-1 taken at the Y(4S)resonance. In these channels we reconstruct 168 events of which 120 are flavor tagged and used in a likelihood fit where we determine sin2beta. The flavor of the other neutral $B$ mesons is tagged using information primarily from identified leptons and Kaons. A neural network is used to recover events without any clear Kaon or lepton signature. A preliminary result of sin2beta=0.12+/-0.37+/-0.09 is obtained.Comment: 17 pages, presented at the 7th International Conference on B-Physics at Hadron Machine