We generalize the traditional, static Keynesian cross by deriving an intertemporal Keynesian
cross for the dynamic output response to government spending and taxes in microfounded …

ABSTRACT Many Markov chain Monte Carlo techniques currently available rely on discrete-
time reversible Markov processes whose transition kernels are variations of the Metropolis …

Our goal in writing this book has been to provide a comprehensive, mathematically rigorous,
but still accessible treatment of the interaction between information and control in multi …

We consider ${\mathbb {R}}^ d $-valued diffusion processes of type\begin {align*} dX_t\=\b
(X_t) dt+ dB_t.\end {align*} Assuming a geometric drift condition, we establish contractions of …

For Markov processes with absorption, we provide general criteria ensuring the existence
and the exponential non-uniform convergence in weighted total variation norm to a quasi …

We study the asymptotic learning rates of belief vectors in a distributed hypothesis testing
problem under linear and log-linear combination rules. We show that under both …

This paper underlines an elegant property of batch-normalization (BN): Successive batch
normalizations with random linear updates make samples increasingly orthogonal. We …

The general topic of this book is the ergodic behavior of Markov processes. A detailed
introduction to methods for proving ergodicity and upper bounds for ergodic rates is …

We consider non‐conservative positive semigroups and obtain necessary and sufficient
conditions for uniform exponential contraction in weighted total variation norm. This ensures …

We establish subgeometric bounds on convergence rate of general Markov processes in the
Wasserstein metric. In the discrete time setting we prove that the Lyapunov drift condition …