%0 Journal Article %T Upper Bounds for Mutations of Potentials %A John Alexander Cruz Morales %A Sergey Galkin %J Symmetry, Integrability and Geometry : Methods and Applications %D 2013 %I National Academy of Science of Ukraine %X In this note we provide a new, algebraic proof of the excessive Laurent phenomenon for mutations of potentials (in the sense of [Galkin S., Usnich A., Preprint IPMU 10-0100, 2010]) by introducing to this theory the analogue of the upper bounds from [Berenstein A., Fomin S., Zelevinsky A., Duke Math. J. 126 (2005), 1-52]. %K cluster algebras %K Laurent phenomenon %K mutation of potentials %K mirror symmetry %U http://dx.doi.org/10.3842/SIGMA.2013.005