C. Shannon, A Mathematical Theory of Communication, Bell System Technical Journal, vol.27, issue.3, pp.379-423623, 1948.
DOI : 10.1002/j.1538-7305.1948.tb01338.x

J. Smith, The information capacity of amplitude- and variance-constrained sclar gaussian channels, Information and Control, vol.18, issue.3, pp.203-219, 1971.
DOI : 10.1016/S0019-9958(71)90346-9

J. Fahs and I. Abou, On properties of the support of capacityachieving distributions for additive noise channel models with input cost constraints

K. Srinivas, A. Eckford, and R. Adve, Molecular Communication in Fluid Media: The Additive Inverse Gaussian Noise Channel, IEEE Transactions on Information Theory, vol.58, issue.7, pp.4678-4692, 2012.
DOI : 10.1109/TIT.2012.2193554

R. Mceliece, The Theory of Information and Coding, 2002.

Y. Wu and S. Verdú, The impact of constellation cardinality on Gaussian channel capacity, 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2010.
DOI : 10.1109/ALLERTON.2010.5706965

M. Egan and S. Perlaza, Capacity sensitivity in additive non-Gaussian noise channels, 2017 IEEE International Symposium on Information Theory (ISIT), 2017.
DOI : 10.1109/ISIT.2017.8006561
URL : https://hal.archives-ouvertes.fr/hal-01522950

P. Billingsley, Convergence of Probability Measures, 1999.
DOI : 10.1002/9780470316962

J. Fahs and I. Abou, On the Finiteness of the Capacity of Continuous Channels, IEEE Transactions on Communications, vol.64, issue.1, pp.166-173, 2016.
DOI : 10.1109/TCOMM.2015.2503403

L. Ozarow and A. Wyner, On the capacity of the Gaussian channel with a finite number of input levels, IEEE Transactions on Information Theory, vol.36, issue.6, pp.1426-1428
DOI : 10.1109/18.59937

A. Dytso, M. Goldenbaum, H. Poor, and S. Shamai, A generalized Ozarow-Wyner capacity bound with applications, 2017 IEEE International Symposium on Information Theory (ISIT), 2017.
DOI : 10.1109/ISIT.2017.8006690

M. Pinsker, V. Prelov, and S. Verdú, Sensitivity of channel capacity, IEEE Transactions on Information Theory, vol.41, issue.6, pp.1877-1888, 1995.
DOI : 10.1109/18.476313
URL : http://www.ee.princeton.edu/~verdu/reprints/IT41.6.11.95.1877-88.pdf

E. , O. Princeton, and N. J. , Real Analysis with Economic Applications, 2007.

K. Parthasarathy, Probability Measures on Metric Spaces, 1967.

D. Luenberger, Optimization By Vector Space Methods, 1969.

H. Li, S. Moser, and D. Guo, Capacity of the Memoryless Additive Inverse Gaussian Noise Channel, IEEE Journal on Selected Areas in Communications, vol.32, issue.12, pp.2315-2329, 2014.
DOI : 10.1109/JSAC.2014.2367673

M. Pinsker, Information and Information Stability of Random Variables and Processes, 1964.