T. Rajala:
Local Poincaré inequalities from stable curvature conditions on metric spaces
Calc. Var. Partial Differential Equations Vol. 44, N. 3-4, p. 477-494, 2012
L. Ambrosio, T. Rajala:
Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces
Ann. Mat. Pura Appl. (Accepted Paper) 2012
T. Rajala:
Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm
J. Funct. Anal. Vol. 263, N. 4, p. 896-924, 2012
T. Ojala, T. Rajala, V. Suomala:
Thin and fat sets for doubling measures in metric spaces
Studia Math. Vol. 208, p. 195-211, 2012
L. Ambrosio, N. Gigli, A. Mondino, T. Rajala:
Riemannian Ricci curvature lower bounds in metric measure spaces with $\sigma$-finite measure
Transactions of the AMS (Accepted Paper) 2012
T. Rajala, K. T. Sturm:
Non-branching geodesics and optimal maps in strong $CD(K,\infty)$-spaces
Calc. Var. Partial Differential Equations (Accepted Paper) 2012
T. Rajala:
Improved geodesics for the reduced curvature-dimension condition in branching metric spaces
Discrete Contin. Dyn. Syst. Vol. 33, N. 7, p. 3043 - 3056, 2013
N. Gigli, T. Rajala, K. T. Sturm:
Optimal maps and exponentiation on finite dimensional spaces with Ricci curvature bounded from below
(Submitted Paper) 2013
T. Rajala:
Failure of the local-to-global property for $CD(K,N)$ spaces
(Preprint) 2013
N. Gigli, A. Mondino, T. Rajala:
Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below
J. Reine Angew. Math. (Accepted Paper) 2013
V. Magnani, T. Rajala:
Radon-Nikodym property and area formula for Banach homogeneous group targets
Int. Math. Res. Not. IMRN Vol. 23, p. 63996430, 2014
F. Cavalletti, T. Rajala:
Tangent lines and Lipschitz differentiability spaces
Anal. Geom. Metr. Spaces (Accepted Paper) 2015
A. Gerolin, A. Kausamo, T. Rajala:
Duality theory for multi-marginal optimal transport with repulsive costs
in metric spaces
(preprint) 2018
A. Gerolin, A. Kausamo, T. Rajala:
Non-existence of optimal transport maps for the multi-marginal repulsive
harmonic cost
(preprint) 2018