Horovitz was grateful to all fans of the Beastie Boys, especially all family and friends for their ''love and support."
Yauch passed away on Friday after battling cancer in his parotid gland and a lymph node since 2009.
In a post on the band's blog last night, Ad-Rock wrote:
“As you can imagine, s**t is just fkd up right now. but i wanna say thank you to all our friends and family (which are kinda one in the same) for all the love and support. i'm glad to know that all the love that Yauch has put out into the world is coming right back at him. thank you.