  We propose a phenomenological approach to quantum liquids of particles
obeying generalized statistics of a fermionic type, in the spirit of the Landau
Fermi liquid theory. The approach is developed for fractional exclusion
statistics. We discuss both equilibrium (specific heat, compressibility, and
Pauli spin susceptibility) and nonequilibrium (current and thermal
conductivities, thermopower) properties. Low temperature quantities have the
same temperature dependences as for the Fermi liquid, with the coefficients
depending on the statistics parameter. The novel quantum liquids provide
explicit realization of systems with a non-Fermi liquid Lorentz ratio in two
and more dimensions. Consistency of the theory is verified by deriving the
compressibility and $f$-sum rules.

Condensed Matter