On the boundary behaviour of the Hardy spaces of Dirichlet series and a frame bound estimate (2009)
Olsen, Jan-Fredrik, Saksman, Eero
A range of Hardy-like spaces of ordinary Dirichlet series, called the Dirichlet-Hardy spaces $\Hp^p$, $p \geq 1$, have been the focus of increasing interest among researchers following a paper of...
ON THE ERGODICITY OF THE ADAPTIVE METROPOLIS ALGORITHM ON UNBOUNDED DOMAINS (2009)
Abstract. This paper describes sufficient conditions to ensure the correct ergodicity of the Adaptive Metropolis (AM) algorithm of Haario, Saksman, and Tamminen [8], for target distributions with a...
Local independence of fractional Brownian motion (2009)
Stochastic Processes and their Applications Vol.119 Nr.10, 3155 - 3172
Integral means and boundary limits of Dirichlet series (2009)
This paper deals with the boundary behaviour of functions in the Hardy spaces p for ordinary Dirichlet series. The main result, answering a question of Hedenmalm, shows that the classical Carlson...
On the Ergodicity of the Adaptive Metropolis Algorithm on Unbounded Domains (2008)
This paper describes sufficient conditions to ensure the correct ergodicity of the Adaptive Metropolis (AM) algorithm of Haario, Saksman, and Tamminen (2001) [9], for target distributions with a...
DRAM − efficient adaptive MCMC (2008)
Heikki Haario, Marko Laine, Antonietta Mira, Eero Saksman
The success of MCMC methods, in general, depends on how well the proposal distribution fits the target distribution. We propose to combine two quite powerful ideas that have recently appeared in the...
Optimal regularity for planar mappings of finite distortion (2008)
Astala, Kari, Gill, James, Rohde, Steffen, Saksman, Eero
Let $f:\Omega\to\IR^2$ be a mapping of finite distortion, where $\Omega\subset\IR^2 .$ Assume that the distortion function $K(x,f)$ satisfies $e^{K(\cdot, f)}\in L^p_{loc}(\Omega)$ for some $p>0.$ We...
On the Ergodicity of the Adaptive Metropolis Algorithms on Unbounded Domains (2008)
Abstract. This paper describes sufficient conditions to ensure the correct ergodicity of the Adaptive Metropolis (AM) algorithm of Haario, Saksman, and Tamminen [9], for target distributions with a...
Integral means and boundary limits of Dirichlet series (2007)
We study the boundary behavior of functions in the Hardy spaces HD^p for ordinary Dirichlet series. Our main result, answering a question of H. Hedenmalm, shows that the classical F. Carlson theorem...
Local independence of fractional Brownian motion (2007)
Let S(t,t') be the sigma-algebra generated by the differences X(s)-X(s) with s,s' in the interval(t,t'), where (X_t) is the fractional Brownian motion process with Hurst index H between 0 and 1. We...
On the connected component of compact composition operators on the Hardy space (2007)
Gallardo-Gutiérrez, Eva A., González, Maria J., Nieminen, Pekka, Saksman, Eero
We show that there exist non-compact composition operators in the connected component of the compact ones on the classical Hardy space $H^2$ on the unit disc. This answers a question posed by Shapiro...
Pointwise characterizations of Hardy-Sobolev functions (2006)
We establish simple pointwise characterizations of functions in the Hardy-Sobolev spaces within the range n/(n+1)
CARLESON’S CONVERGENCE THEOREM FOR DIRICHLET SERIES (2003)
A Hilbert space of Dirichlet series is obtained by consid-ering the Dirichlet series f(s) = � ∞ n=1 ann −s that satisfy n=0 |an | 2 < +∞. These series converge in the half plane
An adaptive Metropolis algorithm (2001)
Haario, Heikki, Saksman, Eero, Tamminen, Johanna
A proper choice of a proposal distribution for Markov chain Monte Carlo methods, for example for the Metropolis-Hastings algorithm, is well known to be a crucial factor for the convergence of the...
Beltrami operators in the plane (2001)
Astala, Kari, Iwaniec, Tadeusz, Saksman, Eero
We determine optimal Lp-properties for the solutions of the general nonlinear elliptic system in the plane of the form f \overline{z} =H(z, fz), h∈ Lp(C), where H is a measurable function...
Superharmonicity of nonlinear ground states (2000)
Manfredi, Juan, Lindqvist, Peter, Saksman, Eero
The objective of our note is to prove that, at least for a convex domain, the ground state of the p-Laplacian operator ?pu = div (|Ñu|p-2 Ñu) is a superharmonic function, provided that 2 = p = 8....
Adaptive proposal distribution for random walk Metropolis algorithm (1999)
Heikki Haario, Eero Saksman, Johanna Tamminen
this paper we also present a comprehensive test procedure and systematic performance criteria for comparing Adaptive Proposal algorithm with more traditional Metropolis algorithms. Keywords: MCMC,...
An Adaptive Metropolis algorithm (1998)
Heikki Haario, Eero Saksman, Johanna Tamminen
A proper choice of a proposal distribution for MCMC methods, e.g. for the Metropolis-Hastings algorithm, is well known to be a crucial factor for the convergence of the algorithm. In this paper we...
Small composition operators on analytic vector-valued function spaces (1998)
Peide Liu, Eero Saksman, Hans-olav Tylli
Let φ be an analytic mapping of the unit disk D into itself. We characterize the weak compactness of the composition operator Cφ: f ↦ → f ◦ φ on the vector-valued Hardy space H1 (X) ( = H1...
Representing non-weakly compact operators (1994)
Gonzalez, Manuel, Saksman, Eero, Tylli, H.
For each $S \in L(E)$ (with $E$ a Banach space) the operator $R(S) \in L(E^{**}/E)$ is defined by $R(S)(x^{**}+E) = S^{**}x^{**}+E$ \quad ($x^{**}\in E^{**}$). We study mapping properties of the...
Weak compactness and weak essential spectra of elementary operators / (1994)
Diss. -- Helsingin yliopisto.